cos" (1 + 2i) O 1.9372 + 1.7552i O 2.1372 + 1.2252i O 1.8858 - 1.3347i 1.1437 -1.5286i

Q: Express the product as a sum containing only sines or cosines. cos(30) cos(20) O cos?(602) 5( cos e…

A:

Q: sin 0 + In + 22+3 = -3 - cos 20 - In y? + 327-4 = + 2ln y+ 22 -3 1+ (cot 0)2

A: Given system is sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

Q: 47' sin z = x³ . cos z + sin z - 3z² Select one: True False

A: Given that d(x3 sinx)/dx  . Here we derivative of this question with respect to x. We know that…

Q: 3.7 O cos ) cos(8-x) cos - cos 3

A:

Q: 57. COs cos (A – 50°): = V3 %3D

A:

Q: cos(cos (0.2982)) -0.0884 O 0.2098 O 0.0884 O 0.5080 O 0.2982

A: Given expression, cos(cos-1(0.2982))

Q: 1. . cos N = COS

A:

Q: Verify the given sum-to-product formula cos * + cos * = 2cos [(* + *)/2] cos * - */2}. Start with…

A:

Q: Value of L is 16 $3+9s 16 O(1 + sin 31) 16 O (1 + cos 3t) 16 (1+ cos 3t) 3 (1 - cos 3t)

A:

Q: 71. a. Is it true that sin (2 · 30°) = 2 sin 30°? b. Expand sin(2 · 30°) as sin(30° + 30°) using the…

A: To find sin(2 .30°)=2 sin 30°and Expand sin (30°+30°) using sum formula for sineFormula:sin 2θ =2…

Q: (4) = - V2 -1 cos 4

A: Given,            cos-122=-π4

Q: +sin(n")n-1 n6.1+cos(n2)n®+2 4. 2 9) Et sin (n* cos(n)

A: We have to use limit comparision test for checking divergence

Q: S Show that L(cos² 3t – sin² 3t)= 82+36

A: Using Laplace transform,

Q: cos(sin (0.685)) = O -0.2715 O 2.7285 O 1.7285 O -1.2715 O 0.7285

A:

Q: 1, Solve for o 0-2T (a) sine 2 W cos 28 = 8- %3D O Zsin e- =o - omis ce)

A:

Q: sin(20) cos(20z) dæ- O 100 O 0 O -2 O 2

A:

Q: sin e 1 cos 0 Multiply - by 1 + cos 0 1 - cos 0

A: According to the difference of squares formula, (a+b)(a-b)=a2-b2. Using the difference of squares…

Q: sin (1) Using an appropriate substitution, evaluate: [2+ cos(1) ]* 1 +C A 3[2+ cos(1)]³ 3 B +C [2+…

A: topic - Indefinite integration

Q: Find 0, if 0° <0 < 360° and 1 and 0 in III. 2 cos 0 =

A:

Q: 16. Evaluate cos(sin¯¹-1) O 0 O ㅠ O 1 O -1

A: Value of Sin(-π/2) is -1

Q: 2) cos (0 + n) = -cos e =-COS

A:

Q: Compute the exact value of cos (cos 4). COS COS

A:

Q: 12. Evaluate Cos 0 -sin & - Bin sin 0 Co3 0

A: Given: cosθ−sinθsinθcosθ4

Q: sin 40 Evaluate the integral : do 3 + cos 40 using the substitution u = 3+ cos 40. sin 40 do = 3+…

A: Solve by substitution method

Q: Sın 7. os 3x-Cos 72- Sen 3x tan 22 Cos4a+1

A: We use Trigonometry identities  Sin(A+B) = sin(A)cos(B)-cos(A)sin(B) cos(2A) = 2cos2(A)-1 sin(2A)=…

Q: Complete the sum identity. cos(0 + 9) cos e cos 0 – sin 0 sin 0

A:

Q: Give the exact value of COS (-) + sin ( 3 V3 O1 2 2 O V2 O 1+v3

A: We need to find the exact value of the given trigonometric ratios.

Q: sin ²e + cos²e =(1)". if n>1

A:

Q: 16. Establish the identity: os 0)² + (sin 0- cos 0)2 = 2 %3D

A: We need to establish the identity  (sinθ+cosθ)2+(sinθ-cosθ)2=2

Q: sin(cos (0.5354)) = O 0.8446 O 1.8446 O -0.1554 O -1.1554 O 2.8446

A:

Q: If cos 0 = 0.9, find the value of cos 0 + cos (0 + 2x) + cos (0 + 4x). cos 0 + cos (0 + 2n) + cos (0…

A: Given, cos θ=0.9

Q: sin k 1-cos 2k 24. 9. 36sin k

A:

Q: 00 cos nT Σ' n-0

A: Given,  ∑n=0∞cos nπ5n   We have to evaluate it

Q: +1- 2 cos 0 for Z E C., show z"+ = 2 cos(n@) that %3D

A:

Q: Simplify sin “ z – cos“ æ O 2cos (x) - 1 O 2sin*(x) - 1 O 1+ 2sin*(x) O 1+ 2cos (x)

A: Using trigonometric identities.

Q: sin 0(3sin? 0+ 4cos? 0) = 3 cos 0 + cos³ 0 4. Prove that tan 0

A:

Q: 11. Express the product sin60 cos40 as a sum. 1/2 (sin100-sin20) O (sin50-sine) 1/2 (sin100+sin20) O…

A:

Q: NTT 57. Уcos 2 n=0

A:

Q: Write a formula for cos 2x by writing cos 2x as cos (x + x) and using the formula for the cosine of…

A: cos2x

Q: DOTS of 343 cos 2T +isin JT 3 今) Cube roots 3

A: Given, 343cos2π3+isin2π3 Use Demoivre's theorem, To find the cube roots

Q: sin 80 do Evaluate the integral 7+ cos 80 using the substitution u = 7+ cos 80. sin 80 do 7+ cos 80…

A:

Q: If n is a positive integer greater than 1, then cos" udu = u sin u + n - 1 cos-1 cos" udu n-2 Use…

A: Given,          ∫excos5exdx

Q: sin(cos (0.715)) O 2.6991 O -1.3009 O -0.3009 O 1.6991 O 0.6991

A: Given,               sin(cos-1(0.715))

Q: – 57 then - If 0 : sin(0) = cos(0) = COS %3D

A: Given : θ = -5π/6 Then, sinθ = sin(-5π/6) = sin(-5×180/6) sin(-150) = -sin(150)         [∴ sin(-θ)=…

Q: Sin 4 Cos 4n %3D Sinn (osn

A:

Q: Find the numerical value of the sum: 6 cos(in) (1-(cos(pi+pii)se E i=2

A:

Q: cos 30° + sin 60° V3 Prove that 1+ cos 60° + sin 30°

A: Trignometric ratios are

Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the…

Q: cos(sin (0.4252)) : O 1.9051 O 0.9051 O -0.0949 O -1.0949 O 2.9051

A: sin^-1(0.4252)=0.43918284434 that is cos(0.43918284434) =0.90509941995

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.