Selain menggunakan sudut ganda, juga akan menggunakan rumus dasar pengurangan sudut pada trigonometri. The field emerged in the Hellenistic world during … Free math problem solver answers your trigonometry homework questions with step-by-step explanations.2. The following (particularly the first of the three below) are called "Pythagorean" identities. Solve. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. sin (75) = cos ( 90 - 75 ) = cos ( 15 ) II. Step 3. Understand and calculate the Value of Sin 15 , derivation, formulae, properties and solved examples. Nilai dari (sin x. The value of Δ = ∣ ∣ ∣ cos 15 ∘ sin 15 ∘ sin 75 ∘ cos 75 ∘ ∣ ∣ ∣ is Maka ini adalah 2 * cos a + b lalu sekali kan dengan Sin a kurang b per 2 pada soal ini kita misalkan 75° ini nilainya adalah a per 2 lalu Sedangkan ini 15 derajat itu adalah sebagai a kurang b per 2 sehingga dari sini dapat kita buat suatu persamaan yaitu atas Besok / 2 berarti jika x 1 x 2 maka a + b itu adalah 75 x 2 yaitu 150 derajat The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. Split into two angles where the values of the six trigonometric functions are known. . sin(45−30) sin ( 45 - 30) Separate negation. Nilai eksak dari adalah . cos Find value of sin 75° cos 15° + cos 75° sin 15° Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Nilai 2(sin 50 cos 40+cos 80 sin 70)=. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. Best answer.2. Open in App.9659258. Step 8. Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. 3 cos 105⁰ cos 15⁰ Rumus yang digunakan yaitu : 2 cos A cos B = cos(A+B) + cos(A-B) Sehingga Apakah Friends pada soal ini kita akan menentukan nilai dari poin A dan poin B untuk menyelesaikan soal ini kita mengingat beberapa rumus terkait trigonometri yang pertama untuk bentuk Sin Alfa + Sin beta bisa kita jabarkan seperti ini kita juga punya rumus untuk Sin Alfa yang digambarkan seperti ini kemudian kita juga perlu ingat bahwa nilai Sin 45derajat ini akan = cos 45 derajat yaitu per 2 \sin (75)\cos (15) en. Find an exact value for each of the following. View Solution.2 Exercises. Step 8.cos 75 Expert-Verified Answer question 18 people found it helpful mysticd report flag outlined Therefore. answered Apr 19, 2020 by Nidhi01 (60. Last updated on Jul 4, 2023 Indian Navy SSR Agniveer 02/2023 Admit Card Out! Nilai dari 2 sin 75° cos 15° adalah. cos 15° = sin 75° =. Verified by Toppr. Share. Join BYJU'S Learning Program.isakifirevret nabawaJ . Sin 75° = 2 Sin 15°Cos°15 = Sin 30° Prove that (i) sin80° cos20° - cos80° sin20° = √3/2 (ii) cos45° cos15° - sin45° sin15° = 1/2 (iii) cos75° cos15° + sin75° sin15° = 1/2 You would need an expression to work with.B .1. cos 15° = cos ( 45° - 30° ) = cos 45 cos 30 + sin 45 sin 30. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘. Enter a problem Cooking Calculators.0. 1 Answer +1 vote . Trigonometry Find the Exact Value cos (75)cos (15) cos (75)cos (15) cos ( 75) cos ( 15) The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of … jika kita melihat soal seperti ini maka bisa kita gunakan rumus trigonometri cos Alfa ditambah cos Beta = 2 cos setengah dikali alfa + beta dikali cos setengah dikali Alfa Min beta dan juga kita gunakan rumus trigonometri Sin Alfa dikurang Sin beta yaitu 2 cos setengah dikali alfa + beta dikali Sin setengah Alfa Min beta disini kita punya soal cos 75 … Get the Free Answr app. Multiply by . Apply the sum of angles identity cos(x+y) = cos(x)cos(y)−sin(x)sin(y) cos ( x + y) = cos ( x) cos ( y) - sin ( x) sin ( y). 아래는 삼각형의 덧셈정리 Find the value of given trigonometric ratio. 아래는 삼각형의 덧셈정리. Find the exact values of sin 75° and cos 75° using sum formulas. Kita gunakan rumus selisih cos ( α - β ) = cos α cos β + sin α sin β. Note: Since, cosine is an even function, the value of cos (-15°) = cos (15°). sin 2 75 ∘ − sin 2 15 ∘ = sin 2 (90 ∘ − 15 ∘) − sin 2 15 ∘ = cos 2 15 ∘ − sin 2 15 ∘ = cos 2 × 15 Nilai 2(sin 50 cos 40+cos 80 sin 70)=. The result can be shown in multiple forms Best Answer. componendo-dividendo on sin75∘ sin15∘. Tentukan Nilai yang Tepat cos(75)cos(15) Step 1. This year, SSC completely changed the exam pattern. Related questions. ⇒ t = √ (3/2) Download Solution PDF. Step 7. D. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30.2. Mathematics. Calculate s i n 15 o. 입니다. Untuk menyelesaikan soal ini kita menggunakan rumus: sin A cos B = 1/2 [sin (A+B) + sin (A-B)] Diketahui: sin 90° Pembahasan: sin 75° cos 15°= 1/2 [sin (75°+15°) + sin (75°-15°)] =1/2 [ sin 90°+ sin 60°] =1/2 [ 1 + ( (akar 3)/2)] =1/2 + ( (akar 3)/4) = (2+ (akar 3))/4 Jadi, nilai dari Hallo Bobarius, kakak bantu jawab yah :) a. Nilai eksak dari adalah . ⇒ 1 + sin 30° = t 2. So, sin45 + sin15 = √2 + √2 − √3 2. Split 75 75 into two angles where the values of the six trigonometric functions are known. = 1/4 √6 + 1/4 √2. Subham Karmakar Subham Karmakar.4. You can see the Pythagorean-Thereom relationship clearly if you consider To calculate the sine of a half angle sin (x/2), follow these short steps: Write down the angle x and replace it within the sine of half angle formula: sin (x/2) = ± √ [ (1 - cos x)/2]. √3 √2. View More. Nilai eksak dari adalah . Jawabannya adalah(2+√3)/2. What is a basic trigonometric equation? A basic trigonometric equation has the form sin (x)=a, cos (x)=a, tan (x)=a, cot (x)=a. Nilai dari sin 105 + cos 105 adalah . Solve your math problems using our free math solver with step-by-step solutions. Jika anda membutuhkan rumus-rumus singkatnya, anda bisa SSC CGL Result Out on 6th December 2023. Solution: 75° is half of 150°, and you know the functions of 150° exactly because they are the same as the functions of 30°, give or take a minus sign. You could find cos2α by using any of: cos2α = cos2α −sin2α.Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step. 참고로 sinx = cos (90-x)입니다.5 D. Iklan.S. Precalculus Simplify cos (75)^2-sin (75)^2 cos2 (75) − sin2 (75) cos 2 ( 75) - sin 2 ( 75) Apply the cosine double - angle identity. Step 3. Jawaban terverifikasi. $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. dxd (x − 5)(3x2 − 2) Integration. Sudut 15 derajat merupakan salah satu sudut bukan istimewa yang tentu tidak kita hafalkan nilainya, akan tetapi bisa kita So, sin x cos x = (1/2) sin 2x. cos … Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step The value of sin 2 75 ∘ − sin 2 15 is.3. . Exact Form: Decimal Form: Download Solution PDF. Multiply by . Calculate s i n 15 o. sin(75)=cos(?) I. 1 2. . Example 4. Therefore, the value of cos(75) + cos(15) is (√6 / 2). Tonton video. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023., •••♪ Find Math textbook solutions? Class 12 Class 11 Class 10 Class 9 Class 8 Class 7 Class 6 Class 5 Class 4 Class 3 Class 2 Class 1 NCERT Class 9 Mathematics 619 solutions NCERT Class 8 Mathematics 815 solutions #sin(2theta) = 2 sin theta cos theta# So: #cos 75^@ cos 15^@+sin 75^@ sin 15^@ = sin 15^@ cos 15^@ + sin 15^@ cos 15^@ = sin 30^@ = 1/2# Answer link. Mahasiswa/Alumni Institut Teknologi Bandung. 7 B. θ. Concept Notes & Videos 386. S = 1. 결국. Steps I took: 1) Finding the value of the left hand side. Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . Exact You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. bisa langsung masukkan saja angka-angkanya dengan a = 75 derajat dan b = 15 derajat sehingga menjadi cos 75 derajat + cos 15 derajat = 2 cos 75 derajat + 15 derajat per 2 dikali dengan cos 75 derajat dikurang 15 derajat per 2 maka ini kita The value of (cos 75 ∘ − cos 15 ∘) 2 + (sin 75 ∘ − sin 15 ∘) 2 is Q. Step 7. Tap for more steps Combine fractions. Click here👆to get an answer to your question ️ Prove that 2sin 75^o sin 15^o = 12. Q 5. Formula used : (i) cos(A + B) = cos A cos B - sin A sin B. Tap for more steps √6−√2 4 cos(15) 6 - 2 4 cos ( 15) The exact value of cos(15) cos ( 15) is √6+√2 4 6 + 2 4. = 1/4 ( √6 + √2 ) Demikianlah contoh-contoh soal trigonometri dan pembahasannya. Exact The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4. Simplify each term.2 √3 + 1/2 √2 . Note: Since, cosine is an even function, the value of cos (-15°) = cos (15°). Solution: -sin(180° + 75°) = -sin 255° cos(90° - 75°) = cos 15° The value of sin 75° is (√6 + √2)/4 or 0. Step 7. So, sin x cos x = (1/2) sin 2x. Q.. Here is another Method to prove the Result : Observe that the Exp. Step 1. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate beginvmatrixcos 15o sin 15o sin 75o cos 75oendvmatrix. sin 15° = \(\dfrac 12\) 2. Business Analyst Course Digital Marketing Course. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge 2 cos 75° . View More.5 0. . 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. cos50 ∘ cos5 ∘ + sin50 ∘ sin5 ∘ = cos(50 ∘ − 5 ∘) = cos45 ∘ = √2 2. sin (75) = cos ( -(90 - 75) ) = cos ( -15 ) Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30) The exact value of sin(45) sin ( 45) is √2 2 2 2. 1/2. Find the value of 2sin15°⋅ cos75°. S = 0. Tap for more steps √2 + √6 4 ⋅ √6 + √2 4 Multiply √2 + √6 4 ⋅ √6 + √2 4. Prove that cos 105° + cos 15° = sin 75° − sin 15°. #cos ((13pi)/12)# #= cos (pi/3 + (3pi)/4)# We might notice that #75-60=15# so #sin15^@=sin(75^@-60^@)=sin75^@cos60^@-cos75^@sin60^@# BUT we don't know sine and cosine of #75^@#. Apply the sum of angles identity. Nilai eksak dari adalah . Class 11 MATHS TRIGONOMETRIC FUNCTIONS. sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2. Pada soal ini kita akan menentukan nilai dari 2 * cos 75 derajat * sinus 15 derajat untuk menyelesaikan soal ini maka kita akan menggunakan identitas trigonometri atau sifat Tri Guna untuk menyelesaikan soal ini maka kita akan menggunakan sifat trigonometri berkaitan dengan selisih dari nilai sinus A dan B jika saya Tuliskan sinus a dikurangi dengan sinus b. Nilai eksak dari adalah . Rumus Jumlah dan Selisih Sudut di sini hanya adalah 75 dan bedanya adalah 15 baik maka dari itu langsung saja saya tulis ulang dulu soalnya di sini cos 75 derajat dikali cos 15 derajat dikurangdengan Sin 75 derajat dikali dengan Sin 15 derajat maka dari itu kita punya di sini adalah cos tan(x y) = (tan x tan y) / (1 tan x tan y) . sin(2⋅15) sin ( 2 ⋅ 15) Multiply 2 2 by 15 15. answered Apr 19, 2020 by Nidhi01 (60. on the L. Terapkan identitas penjumlahan sudut . Given trigonometric ratio: sin 75 ∘.com.2. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. sin(2⋅75) sin ( 2 ⋅ 75) Multiply 2 2 by 75 75. Calculati sin 15° + sin 75° - 4066098. Tap for more steps The exact value of cos(15) cos ( 15) is √6+√2 4 6 + 2 4. Therefore, the value of sin(75) + sin(15) is (√6 / 2). Cos 75° = Sin 15°. Guides. jika kita melihat soal seperti ini maka bisa kita gunakan rumus trigonometri cos Alfa ditambah cos Beta = 2 cos setengah dikali alfa + beta dikali cos setengah dikali Alfa Min beta dan juga kita gunakan rumus trigonometri Sin Alfa dikurang Sin beta yaitu 2 cos setengah dikali alfa + beta dikali Sin setengah Alfa Min beta disini kita punya soal cos 75 + cos 15Sin 75 dikurang Sin 15 = kita ubah Hai Google jadi disini kita diminta untuk mencari tahu nilai dari cos 75 derajat dikurang cos 15 derajat untuk menyelesaikan soal ini kita bahwa apabila kita punya cos derajat dikurangi B derajat maka akan = min 2 dikali Sin setengah a derajat + b derajat X dengan tin Tengah a Drajat dikurangi B derajat di sini kita punya 75 derajat dan b derajat nya yaitu 15 derajat sehingga Pos75 derajat Find the Exact Value sin(75) Step 1.3, 5 (ii) → Ask a doubt.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3.2588190. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. see below cos 15^@=cos(45^@-30^@) =cos45^@cos30^@+sin45^@sin30^@ =sqrt2/2* sqrt3/2+sqrt2/2 *1/2 =sqrt6/4+sqrt2/4 =(sqrt6+sqrt2)/4 Ingat rumus sin⁡ 2A = 2 sin ⁡A cos ⁡A, maka 2 sin⁡ 15 cos⁡ 15 = sin ⁡2(15) = sin ⁡30 = Ingat rumus sin⁡ 2A = 2 sin ⁡A cos ⁡A, maka. Evaluate the following and justify your answer. Iklan. Squaring on both sides, we get. Separate negation. . 참고로 sinx = cos (90-x)입니다. sin 75° = sin(150°/2) = ±√ (1 − cos 150°)/2. What is cotangent equal to? Explanation: For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). Notice also that sin θ = cos (π 2 − θ), sin θ = cos (π 2 − θ), which is opposite over hypotenuse. Guides. Multiply by . The exact value of is . cos 15°. 1 √2. sin 15°.

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b .cos b - sin b. Find the Exact Value sin(75)+sin(15) Step 1. Iklan. (i) sin215 +sin275 cos236 +cos254. Dapatkan akses pembahasan sepuasnya tanpa batas The value of the expression $2 { {\left ( \sin 15+\sin 75 \right)}^ {2}}$ is 3. cos(2⋅75) cos ( 2 ⋅ 75) Multiply 2 2 by 75 75. sin(30) sin ( 30) The exact value of sin(30) sin ( 30) is 1 2 1 2. Prove that cos 105° + cos 15° = sin 75° − sin 15°. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 Free trigonometric equation calculator - solve trigonometric equations step-by-step $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Free math problem solver answers your trigonometry homework questions with step-by-step explanations. 9rb+ 2. Sin 75° = Sin 150°. sin2α = 2sinαcosα. Use app Login. Exact Form: 1 2 1 2 Decimal Form: 0. Calculation: cos 2 15° - cos 2 75 = cos 2 15° - sin 2 15° = cos (2 × 15°) (∵ cos 2 θ - sin 2 θ = cos 2θ) = cos 30° = \(\frac {\sqrt 3}{2}\) Download Solution PDF.. Limits. Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step INGAT! 2 sin A cos B = sin (A+B) + sin(A-B) Sehingga diperoleh: 2 sin 75 cos 15 = sin (75+15) + sin (75-15) = sin 90 + sin 60 = 1 + 1/2 √3 Semoga membantu ya. Nilai eksak dari adalah . 8 C. Karnataka Board PUC PUC Science 2nd PUC Class 12. B. Câu hỏi trong đề: Trắc nghiệm Giá trị lượng giác của một góc bất kì từ 0o đến 150o có đáp án (Vận dụng) !! Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step Free trigonometric function calculator - evaluate trigonometric functions step-by-step. … Differentiation. Compare your answers to those in part (a). Find the Exact Value cos(15) Step 1. ⇒ sin75∘ sin15 Free trigonometric identity calculator - verify trigonometric identities step-by-step. What is the value of 2sin(75)cos(15) ? The value of 2sin(75)cos(15) is 1+(sqrt(3))/2 Substituting for x and y in y=2x yields: 2u\sin v=2u\cos v\quad \Rightarrow \quad v=\frac{\pi}{4} So y=2x is a horizontal line in the uv plane. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0. Tính giá trị biểu thức S = sin 2 15 0 + cos 2 20 0 + sin 2 75 0 + cos 2 110 0. ⇒ 1 + 1/2 = t 2. Sin 75 + cos 15. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.9659) on the Prove that cos 2 75° + cos 2 15° = 1. Cari nilai dari sin 75!! Untuk bisa mendapatkan 75, berarti kita harus menjumlahkan 45 dengan 30, sehingga rumus yang digunakan adalah rumus penjumlahan sinus. Tap for more steps 0 Trigonometry Simplify 2sin (15)cos (15) 2sin(15) cos (15) 2 sin ( 15) cos ( 15) Apply the sine double - angle identity. What is trigonometry used for? Trigonometry is used in a variety of fields and … Trigonometry Examples Popular Problems Trigonometry Find the Exact Value sin (75)cos (15) sin(75)cos(15) The exact value of sin(75) is √2 + √6 4. 7 B. The exact value of is . Ex 3. See that Sin 75° = Cos 15°.0k points) selected Apr 19, 2020 by Vevek01 . Follow answered Jun 16, 2021 at 13:46. sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2. Q 5. sin 2θ = 2 sin θ cos θ = \(\dfrac 12\) × sin 2(15°) = \(\dfrac 12\) × sin (30 (π 2 − θ). How to Find the Value of Sin 75 Degrees? The value of sin 75 degrees can be calculated by constructing an angle of 75° with the x-axis, and then finding the coordinates of the corresponding point (0. The result can be shown in multiple forms. A. Join / Login. D. ∴ L H S = R H S Was this answer helpful? 2 Similar Questions Q 1 Prove that: 1+tan (A)tan (A/2) = tan (A)cot (A/2)-1 = sec (A) View Solution jika dapat pertanyaan seperti ini ada 1 rumus yang kita gunakan untuk menyelesaikannya rumus itu adalah 2 Sin a * cos B = Sin a ditambah B ditambah dengan Sin a + b sekarang tidak subtitusikan 75 derajat dengan A dan 15 derajat dengan b dalam pertanyaannya tidak akan dapat 2 Sin a * cos b c lihat dia sama dengan rumus yang saya sudah berikan maka akan = Sin a + b = Sin a + b kita subtitusikan How to find the value of cos 15° - sin 15° using trigonometric formulas? Learn the solution and the concept behind it with BYJU'S, the best online learning platform for maths and science. But in that case the multiple angle formula gives us the $\sin \left ( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac {1} {2}$. Similar Questions. S = 4. Final answer: The sum of sin(75°) and cos(15°) is calculated by first noting that sin(75°) = cos(15°) owing to co-function identities. Register free for online tutoring session! Example: Find sin 75°, which is sin 5π/12. Beri Rating · 0. So this won't get us the answer. Terapkan identitas penjumlahan sudut . Halo Denara, kakak bantu jawab ya.9659258. Step 8. join our group for asking your maths doubt pls click below link sin 15° sin 75° + cos 75° cos 15 Dari soal diatas dapat disimpulkan bahwa jenis soal diatas merupakan contoh soal perkalian trigonometri maka kita bisa melihat rumus trigonometri perkalian cos pada uraian diatas yaitu rumusnya adalah 2 cos A cos B = cos (A + B) + cos (A- B) Jawaban : nilai 2 cos 75° cos 15° = cos (75 +15)° + cos (75 - 15)° = cos 90° + cos 60° = 0 + ½ Sederhanakan sin(75)cos(15) Step 1. (cos (A+B)=cosAcosB - sinAsinB 공식 활용) A=B 이면 cos2A = cosA^2 - sinA^2 = 1 - 2 sinA^2. = 1/2 √2 . Cite. Halo Megi, Kakak bantu jawab ya.IIX dradnatS .1.2.2. Solution. Step 7. Nilai dari cos 75 cos 15-sin 75 sin 15 adalah . x→−3lim x2 + 2x − 3x2 − 9. ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t. Tap for more steps √2 + √6 4 cos(15) The exact value of cos(15) is √6 + √2 4.1.2. Tap for more steps Cancel the common factor of 4 4 and 16 16. sin(2⋅75) sin ( 2 ⋅ 75) Multiply 2 2 by 75 75. Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ - Mathematics Explanation: For cos 75 degrees, the angle 75° lies between 0° and 90° (First Quadrant ). View Solution. Check Answer and Solution for above question from Mathemati We have, 2 s in 1 5 ∘ cos 7 5 ⇒ cos(75) - cos(15) = - 1/√2 Therefore, the value of cos(75) - cos(15) is (- 1/ √2) Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses are your key to success. Yah, akses pembahasan gratismu habis.5 D. Split into two angles where the values of the six trigonometric functions are known. B. Transcript. Chapter 3 … = √3/√2. . Share on Whatsapp. . Find the Value of Sin 15 with vedantu.0 (0) Balas. sin(30) sin ( 30) Solve your math problems using our free math solver with step-by-step solutions. sin 2 ( t) + cos 2 ( t) = 1. Tap for more steps √6−√2 4 … Transcript. Combine the numerators over the common denominator. Apply the sum of angles identity. Nilai eksak dari adalah . Split into two angles where the values of the six trigonometric functions are known. Positive (+) if the half angle lies on the 1st or 2nd quadrants; or. Step 2. ⇒ sin(75) + sin(15) = √6/2 . sin 15° = cos 75° =. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. D. Find the exact values of sin 75° and cos 75° using difference formulas.1. Step 8. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. 1. Similarly, tangent and cotangent are cofunctions, and secant and cosecant are cofunctions. Question 3: What is the value of cos(75) – cos(15). MCQ Online Mock Tests 22.2. Standard XII. Q. A. Jawab: Penjelasan dengan langkah-langkah: soal1. View Solution. Tap for more steps (√2 + √6)(√6 + √2) 16 Trigonometry. Notice: Sin 150 º = Sin 30°. . (3) and (4) we get, 2 sin 15° = √(1 + ½) - √(1 - ½) 2 sin 15° = (√3−1)/√2. Step 9. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. So : 2Cos 75° . How to Find the Value of Sin 75 Degrees? The value of sin 75 degrees can be calculated by constructing an angle of 75° with the x-axis, and then finding the coordinates of the corresponding point (0. sin(2x) = 2 sin x cos x cos(2x) = cos ^2 (x) - sin ^2 (x) = 2 cos ^2 (x) - 1 = 1 - 2 sin ^2 (x) .9659 (approx).2k points) trigonometric functions View Solution. Sin 75 Degrees. Hai Google jadi disini kita diminta untuk mencari tahu nilai dari cos 75 derajat dikurang cos 15 derajat untuk menyelesaikan soal ini kita bahwa apabila kita punya cos derajat dikurangi B derajat maka akan = min 2 dikali Sin setengah a derajat + b derajat X dengan tin Tengah a Drajat dikurangi B derajat di sini kita punya 75 derajat dan b derajat nya yaitu 15 … Find the Exact Value sin(75) Step 1. Syllabus. 2) Rewriting sin75. Step 8. The exact value of cos(45) cos ( 45) is √2 2 2 2. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. sin75 = sin(45 + 30) = sin45cos30 + sin30cos45 = √2 2 ⋅ √3 2 + 1 2 ⋅ √2 2 The value of Δ = ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣ is[2 marks] View Solution.cos 15° = t 2. Question 1: What is the value of sin(75) – sin(15). Evaluate: cos 15 ° sin 15 ° sin 75 ° cos 75 ° Q. Combine the numerators over the common denominator. 1. 입니다. Kesimpulan. cos2α = 2cos2α − 1.mret hcae yfilpmiS )57(nis)51(nis - )57(soc)51(soc )57( nis)51( nis-)57( soc)51( soc yfilpmiS yrtemonogirT smelborP ralupoP selpmaxE yrtemonogirT 4 2 + 6 ⋅ 4 2 - 6 4 2√ +6√ ⋅ 4 2√−6√ spets erom rof paT . C. So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Q. The area of R is given by A=\iint_RdA Find the spectrum of an operator related to Fourier series Trigonometry Find the Exact Value 2sin (75)cos (75) 2sin(75) cos (75) 2 sin ( 75) cos ( 75) Apply the sine double - angle identity. Detailed step by step solution for 2sin(75)cos(15) Substituting for x and y in y=2x yields: 2u\sin v=2u\cos v\quad \Rightarrow \quad v=\frac{\pi}{4} So y=2x is a horizontal line in the uv plane. sin 30 sin 15 - cos 30 cos 15 Free trigonometric function calculator - evaluate trigonometric functions step-by-step. √3+1 √2. . Step 1. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0. Nilai eksak dari adalah . 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 Master Teacher. D. Join BYJU'S Learning Program. Sin 75⁰ cos 15⁰ Rumus yang kita gunakan yaitu : 2 sinA cos B = sin(A+B) + sin(A-B) Sehingga, Sin 75⁰ cos 15⁰ = ½ (sin(75+15) + sin(75-15) = ½ (sin 90 + sin 60) = ½ (1 + ½*akar(3)) = ½ + ¼*akar(3) Jadi, sin 75° cos 15° = ½ + ¼*akar(3) b. Using fundamental theorem of determinant, ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0, [using sum to product formula] Blog Koma - Rumus dasar sudut ganda trigonometri salah satunya bisa kita gunakan untuk Menghitung Nilai sin dan cos 15 derajat yang akan kita bahas pada artikel ini. Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 - √2) / 4 ke dalam Section 7. If you want to know what is sin 75 degrees in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what's ahead in this section is the value of sin 75°: sin75° = (√6+√2)/4. Full pad Examples Frequently Asked Questions (FAQ) What is trigonometry? Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. Jawaban terverifikasi. For example: Given sinα = 3 5 and cosα = − 4 5, you could find sin2α by using the double angle identity. Step 2. 421 2 2 silver badges 14 14 bronze badges $\endgroup$ Click here:point_up_2:to get an answer to your question :writing_hand:find the answer sec 2 10 cot 2 80cfrac sin 15 cos. Spinning The Unit Circle (Evaluating Trig Functions ) If you've ever taken a ferris wheel ride then you know about periodic motion, you go up and down over and over Read More. b. Rumusnya mirip dengan pengurangan, hanya tandanya saja yang berbeda. The exact value of is . Find the Exact Value cos(15 degrees ) Step 1. Step 3. Split into two angles where the values of the six trigonometric functions are known. ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0 Blog Koma - Rumus dasar sudut ganda trigonometri salah satunya bisa kita gunakan untuk Menghitung Nilai sin dan cos 15 derajat yang akan kita bahas pada artikel ini.9659 (approx). A. C. trigonometry; class-12; Share It On Facebook Twitter Email. \(\sin \left(195{}^\circ \right)\) 3. cos 15° = sin 75° =. Multiply by . 참고로 sinx = cos (90-x)입니다. The exact value of cos(15°) is found using the half-angle identity and simplifying. soal2. Skill Academy. Use trig identity: sin (a - b) = sin a. The SSC CGL Eligibility is a bachelor's degree in the concerned discipline. Related Symbolab blog posts.

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Tap for more steps Step 1. 2 sin⁡ 15 cos⁡ 15 = sin ⁡2(15) = sin ⁡30 = Perdalam pemahamanmu bersama Master Teacher di sesi Live Teaching, GRATIS! 13rb+ 3. Evaluate the following and justify your answer. Use a sum or difference identity to find an exact value of cot(5π 12).4. How to convert radians to degrees? The formula to convert radians to degrees: degrees = radians * 180 / π. ⇒ cos 15° = cos 375° = cos 735°, and so on. sin15° 의 값은 아래와 같이 구합니다.3em] sin 15^\circ & cos 15^\circ \\[0.rewsna emas eht teg dluohs uoy dna ,salumrof nevig evoba eht morf kcehC $)54-06( soc\+)54+06(soc\ =°51 soc\+ °501 soc\ =°57 nis\ + °501 soc\$ . Lets see how to determine it sin15-cos15 = √2( 1 √2 sin15- 1 √2 cos15) sin 15 - cos 15 = 2 ( 1 2 s i n 15 - 1 2 cos 15) = √2(cos45sin15-sin45cos15) = √2sin(15−45) =-√2sin30 = 2 ( cos 45 sin 15 - sin 45 cos 15) = 2 sin ( 15 − 45) = - 2 sin 30 So it is a negative sin15-cos15 =-√1-sin30 =- 1 √2 sin 15 - cos 15 = - 1 - sin 30 = - 1 2 - (2) Find the value of 2 sin 15. sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B. \(\sin \left(75{}^\circ \right)\) 2. . sin 75 degrees = (√6+√2)/4. Split into two angles where the values of the six trigonometric functions are known.2. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. Ketuk untuk lebih banyak langkah Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui. Click a picture with our app and get instant verified solutions. Jawaban terverifikasi. Negative (-) if it lies on the 3rd or 4th quadrants. ⇒ sin 2 15° + cos 2 15° + 2sin 15°. Tap for more steps √2 + … Trigonometry. Solve.1. The sin of 75 degrees is (√6+√2)/4, the same as sin Find the value off the following: sec^2 10° - cot^2 80° + (sin15° cos75° + cos15° sin75°)/(cosθsin(90° - θ) + sinθcos(90° - θ)) asked Oct 6, 2020 in Trigonometry by Chandan01 ( 51. Nilai eksak dari adalah . Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Tonton video. Important Solutions 1004. 9. Ex 3.0k points) selected Apr 19, 2020 by Vevek01 .2588, 0. The exact value of is . Since cosine function is positive in the first quadrant, thus cos 75° value = (√6 - √2)/4 or 0. Share on Whatsapp Latest Navy AA Updates.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. The area of R is given by … Trigonometry Find the Exact Value 2sin (75)cos (75) 2sin(75) cos (75) 2 sin ( 75) cos ( 75) Apply the sine double - angle identity. Best answer. √ 3 2. You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 Trigonometry.1. Click here:point_up_2:to get an answer to your question :writing_hand:12 what is value of expression 2 left sin 15 circ. The result can be shown in multiple forms. So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Q. Sin 75° = Sin 150° Notice: Sin 150 º = Sin 30° See that Sin 75° = Cos 15° Cos 75° = Sin 15° So : 2Cos 75° . 와. cos(150) cos ( 150) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Step 9. sin 15° Multiply and divide by 2, we get = \(\dfrac 12\) 2. Use app Login. 02:45. Ketuk untuk lebih banyak langkah Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui.2588, 0. 8 C. cos 15° = sin 75° =. Combine the numerators over the common denominator. Example 3: Find #cos ((13pi)/12)#. Iklan. 1 Answer +1 vote . Textbook Solutions 13653. Explain your reasoning. sin 15° = cos 75° =. sin(150) sin ( 150) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Domain and Range of Trigonometric Ratios.Then, the sum of sin(75°) + cos(15°) is equivalent to 2cos(15°). Tentukan Nilai yang Tepat cos(75)cos(15) Step 1.3em] \end{vmatrix}\) On expanding the above, ⇒ {cos 15°} {cos 15°} - {sin 15°} {sin 15°} On applying formula cos(A + B) = cos A cos B - sin A sin B = cos (15 + 15) = cos (30°) What is the value of cos 15°? Get the answer to this question and access a vast question bank that is tailored for students. Tap for more steps Step 1. It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. Check Answer and Solution for above question from Mathemati. Sin 75° = 2 Sin 15°Cos°15 = Sin 30°. sin2α = 2(3 5)( − 4 5) = − 24 25. bisa langsung masukkan saja angka-angkanya dengan a = 75 derajat dan b = 15 derajat sehingga menjadi cos 75 derajat + cos 15 derajat = 2 cos 75 derajat + 15 derajat per 2 dikali dengan cos 75 derajat dikurang 15 derajat per 2 maka ini kita The value of sin75∘+cos75∘ is. Here, cos 150° is negative because 150° is to the left of the origin, in Quadrant II, and 180° − 150° = 30°, so Trigonometry Examples.1. (I included it because when solving problems we DO sometimes think of cos(75)cos(15) - sin(75)sin(15) Simplify each term. Hitunglah nilai gradien garis tangen kurva fungsi f (θ)=cotanθ−2cosecθ, untuk θ=π/3. Separate negation. Sudut 15 derajat merupakan salah satu sudut bukan istimewa yang tentu … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Ketuk untuk lebih banyak langkah Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui. Rumus yang berlaku pada perkalian sinus dan cosinus sebagai berikut: 2 sin A sin B = cos (A - B) - cos (A + B) 2 cos A cos B = cos (A + B) + cos (A - B) 2 sin A cos B = sin (A + B) + sin (A 3. Nur. View Solution. (i) sin2 +sin275 cos236 +cos2. Beri Rating sin 2θ = 2 sin θ cos θ . Find the value of 2sin15°⋅ cos75°. How do I determine the molecular shape of a molecule? What is the lewis structure for co2? Solution Verified by Toppr sin275∘ −sin215∘ = sin2(90∘ −15∘)−sin215∘ = cos215∘ −sin215∘ = cos2×15∘ = cos30∘ = √3 2 Was this answer helpful? 3 Similar Questions Q 1 Find the value of 1 1+ 1 3− 4 2+ 1 3−(1 2) + 3 3− 4 3+ 1 2−(1 2) View Solution Q 2 Mark the correct alternative in each of the following: The value of sin275∘ −sin215∘ is View Solution Byju's Answer Standard XII Mathematics Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine The value of Question The value of (cos75∘−cos15∘)2+(sin75∘−sin15∘)2 is A 0 B 1 C 1 2 D −1 Solution The correct option is B 1 (cos75∘−cos15∘)2+(sin75∘ −sin15∘)2 = cos275∘ +cos215∘−2cos75∘ cos15∘ +sin275∘ +sin215∘ −2sin75∘sin15∘ Solution Verified by Toppr 2 sin x sin y = cos ( x − y) − cos ( x + y). \({\rm cos}(165 #= cos^2 a - sin^2 a#. cos 15° We know that . The exact value of cos(30) cos ( 30) is √3 2 3 2. using above formula L H S = 2 sin 75 ∘ sin 15 ∘ = cos ( 75 ∘ − 15 ∘) − cos ( 75 ∘ + 15 ∘) = cos 60 ∘ − cos 90 ∘ = 1 2 − 0 = 1 2 = R H S. Step 3. -sin(180° + 75°) = -sin 255° cos(90° - 75°) = cos 15° The value of sin 75° is (√6 + √2)/4 or 0. Xem lời giải. DN.0 (8 rating) Now we got, from (2) sin 15° - cos 15°= -√(1 - sin 30°) … (4) Adding eq. (A) ((2+√3)/2) (B) 1 (C) (√3/2) (D) (2-√3/2). c o s 15 o. .3, 5 (ii) → Ask a doubt. c o s 15 o. 9. 17 Desember 2021 05:02. Tap for more steps 1 4 - 1 4 Combine fractions. We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0. ⇒ cos 75° = cos 435° = cos 795°, and so on. 와. 236. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023.H. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. CONSTRUCTING VIABLE ARGUMENTS To be profi cient in math, you need to understand and use stated assumptions, defi nitions, and Postingan ini membahas contoh soal perkalian sinus dan sinus, sinus dan cosinus, cosinus dan cosinus yang disertai pembahasannya atau penyelesaiannya.cos a Trig table --> #sin 45 = sqrt2/2# and #cos 30 = sqrt3/2# #sin 30 = 1/2#, and #cos 45 = sqrt2/2# There for: #sin (45 - 30) = sin 15 = (sqrt2/2)(sqrt3/2) - (sqrt2/2)(1/2) = # Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step.b nim A niS hagnetes nagned + b + a niS hagnetes idajnem aynkutneb habu atik tapad akam b soc a niS aynah halada ini laos kutneb laos adap tahil atik ayntujnaleSb gnaruk a niS + b + a idajnem naka aynkutneb B soc a niS 2 kutnu sumur nakanuggnem asib atik halada tajared 51 soc tajared 57 nis irad ialin laos tapadret inisid halada aynnaiaseleynep akam ini itrepes laos tapadnem akij . Terapkan identitas penjumlahan sudut-sudut. Selain menggunakan sudut ganda, juga akan menggunakan rumus dasar pengurangan sudut pada trigonometri. . Given: Expression = sin75° + cos15° Concepts used: sin (A + B) = sinA cosB + cosA sinB Calculation: ⇒ sin75° + cos15° = sin75° +. S = 2.2k points) trigonometric functions View Solution. Chapter 3 Class 11 Trigonometric Functions. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Perhatikan penjelasan berikut ini ya.5 Solve your math problems using our free math solver with step-by-step solutions. √ 3 4. Apply the sum of angles identity. Method 2: Another method to find the value of sin 15 degrees is given below. The value of (cos 75 ∘ − cos 15 ∘) 2 + (sin 75 Step by step video, text & image solution for Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Similar Questions. tan(2x) = 2 tan(x) / (1 Split 15 15 into two angles where the values of the six trigonometric functions are known. Thus, when two angles are complementary, we can say that the sine of θ θ equals the cofunction of the complement of θ. Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat.cos x)/tan x adalah Sehingga, sin 15 = ¼ [√6 - √2] Soal : 2. Step 8.2. Note: Since, cosine is an even function, the value of cos (-75°) = cos (75°). Trigonometry Examples Popular Problems Trigonometry Find the Exact Value sin (75)cos (15) sin(75)cos(15) The exact value of sin(75) is √2 + √6 4. Note that the three identities above all involve squaring and the number 1. 1 2 1 2 The result can be shown in multiple forms.1. ⇒ cos 15° = cos 375° = cos 735°, and so on. Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). What is cotangent equal to? Explanation: For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). Now, sin75∘ sin15∘ = sin75∘ cos(90∘ −15∘) = sin75∘ cos75∘, = tan75∘ = tan(45∘ + 30∘), = tan45∘ +tan30∘ 1 − tan45∘tan30∘, = 1 + 1 √3 1 − 1 √3. trigonometry; class-12; Share It On Facebook Twitter Email.2. The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. Tap for more steps Simplify the numerator. Đáp án chính xác. Step 2.9659) on the Prove that cos 2 75° + cos 2 15° = 1. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. cos2α = 1 −2sin2α. ∫ 01 xe−x2dx. Join / Login. Tap for more steps Multiply √6−√2 4 ⋅ √6+ √2 4 6 - 2 4 ⋅ 6 + 2 4. √3−1 √2. 0. Start with the definition of cotangent as the inverse sin (90 - θ) = cos θ .9k points) 2 cos 75° . How to convert radians to degrees? The formula to convert radians to degrees: degrees = radians * 180 / π. Once you know the general form of the sum and difference identities then you will recognize this as cosine of a difference. C. . 3 4. Mathematics. Nilai dari sin 105 + cos 105 adalah . Step 2. Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. 01:58. sin 75 cos 15 - cos 75 sin 15 = = sin(75 - 15) = sin 60 = 1/2 √3. Combine the numerators over the common denominator. . Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. Serial order wise. What is a basic trigonometric equation? A basic trigonometric equation has the form sin (x)=a, cos (x)=a, tan (x)=a, cot (x)=a. ∴ sin 15° = (√3−1)/2√2.1. . 입니다. can be obtained using. … Trigonometry Find the Exact Value cos (75)cos (15) cos (75)cos (15) cos ( 75) cos ( 15) The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4. sin 15° = cos 15°. tan 2 ( t) + 1 = sec 2 ( t) 1 + cot 2 ( t) = csc 2 ( t) Advertisement. (A) ((2+√3)/2) (B) 1 (C) (√3/2) (D) (2-√3/2). Calculation: Given: sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°). Note: we can also convert $\sin 15$ into $\cos 75$.= °57 soc = °51 nis . The result can be shown in multiple forms. sin 75° = (√6+√2)/4.Q ° 57 soc ° 57 nis ° 51 nis ° 51 soc :etaulavE . Evaluate the following and justify your answer. Apply the difference of angles identity.