2 can be converted, using one of the identities , to which of the following? O 4(sin z + cos(4x)] O 4(cos a+ cos(4x)] O 4(sin r- cos(4r)] O 4(sin a- sin(4a)] O 4(cos z - cos(4z)]

Q: in the form Acos(x+B) 2 Write 6 cos x+8 cos x--

A: Given 6 cos x + 8 cos x - π2  To write:  6 cos x + 8 cos x - π2  in the form A cos ( x + B)

Q: If cos 4x = cos 6y, which of the following is correct?

A:

Q: Cos x = Cos" x 1-

A: In this question we have to prove cosx=cos-1x.

Q: For any x it is true that cos (-x) has the same value as cos x. We express this fact as the identity

A: The cosine function is an even function and symmetric about y-axis.

Q: Find the exact value of the expression. sin 4 12 sin 4 12 CoS Cos 1 O A. 4 V3 О в. 1 О с. 2 O D. 1

A:

Q: Verify the identity. 6 cos2(x) – 3 = 3 – 6 sin?(x) - (| ([ 6 cos?(x) – 3 = 6(1 3 - 3 = 6 – = 3 - 6…

A: Given: 6cos2x-3=3-6sin2x We have to verify the given identity. Formula used: sin2x+cos2x=1

Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

A: The answer is found in step-2.

Q: Which of the following is equivalent to 2 cos(3x) cos(5x)? Select an answer and submit. For keyboard…

A: We have the formula,  Cos(A+B) + Cos(A-B) = 2 CosA CosB------(1) Now given that, 2Cos(3x) Cos(5x)…

Q: - Verify the following identity: (cos 0 – sin 0)² + 2 sin 0 cos 0 = 1

A: Using trigonometry identity,

Q: 3. Which is equal to (sin a + cos a) +(sin r cos a) using identities? CO O 2 -2 О-1

A:

Q: 2 cos" (x)–sin°(z)+1 cos(x) 3 cos(x) 10. Verify the following identity, justifying each step.

A:

Q: Use the product-to-sum identity 2 cos A cos B = cos (A + B) + cos (A – B) to prove the sum-to- P +…

A:

Q: 2. Extend the identity cos(ax)-cos?x-sin'x for xE PR to the identity cas (a2)- Cos s 2-sinz for & €…

A:

Q: For any x it is true that cos(-x) has the same value as cos x. We express this fact as the identity

A: We have to fill in the blanks: For any x it is true that cos-x has the same value as cos x. We…

Q: (14) Prove the following identity cos(x + y) + cos(x - y) = 2 cos(x) cos(y). Make sure you show all…

A: We have to prove the given identity- cos(x + y )+cos(x - y) =2cos(x) cos(y).

Q: given that sin(x)=11/61, and 0<x<<x<pi/2 find cos(2x)

A: Given that sinx=1161             0&lt;x&lt;&lt;x&lt;π2 The interval shows that x is in first…

Q: - 37 then 4 - If 0 sin(0) = cos(0) =

A:

Q: Find sin2x, cos2x, and tan 2x if cosx - and x terminates in guadrant III. 13 sin 2x cos 2x tan 2x

A:

Q: Show that the following is true. cos(180° - 0) = -cos e

A: You know the formula:

Q: 1) Using the formula: cos(x + y) = cos x cos y – sin x sin y, prove in steps 1+cos 2 x that: cos? x…

A: In the question it is asked to calculate the solution of cos2x=1+cos2x2 using the formula cos(x+…

Q: 5. 3 If tan B = - with * <B < 2n , find cos (2ß). %3D

A: It is known that in the first quadrant all trigonometric ratios are positive, in the second quadrant…

Q: Which is equal to (sin⁡x+cos⁡x)^2+(sin⁡x−cos⁡x)^2 using identities?

A: Now we use identity  Sin2x +cos2x =1 And formula (a+b)2= a2 +b2 + 2ab  (a-b)2 = a2 + b2 - 2ab

Q: The simplified form of cos²(x) sin(x) + sin(1) is: Select one: a. sin(x) b. None of these c. cos(x)…

A:

Q: Find the exact value of cos($ – 8), given that cos(4) = , and cos(8) - 2, where o is in the

A:

Q: Use De Moivre’s Theorem with n = 3 to express cos 3θ and sin 3θ in terms of cos θ and sinθ.

A: To express cos3θ and sin 3θ in terms of cosθ and sinθ, using De Moivre's theorem with n=3. De…

Q: Which expression is equal to sin^4⁡x−cos^4⁡x / sin^2⁡x−cos2^⁡x using identities?   −1   2   1…

A: Topic- trigonometry

Q: 1 then sin 20 is equal to 2 If 20 is in QIl and cos 30 cos 0 + sin 30 sin 0 V3 1 1

A: The given trigonometric problem is solved below in detail.

Q: Use the fact that (-1)"x²n cos(x) = L(2n)! n=0 for all x eR to evaluate cos(x²) dæ, correct to…

A:

Q: 3) The following statements are false. Explain why. a) sin(sin-1(2)) = 2 b) os-'(cos(2n)) = 2n

A: Please refer the attached image for complete solution.

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

A: Given θ=5π6

Q: If cP (x) - cos X, Find ♡ (ac -y)

A:

Q: 3 Verify the identity: csc (0) 1-cos2 (0) cos (20) 2 sin(0) + 2tan(0) cos(0) = %3D sin (0)

A:

Q: Show how you could set up and find the exact value of cos (3?/4) in two different ways.

A: To find the value of  cos(3π/4)

Q: 7. Verify the identity 1+cos 2x+2sin² x = 2 1 and <θ<π, find sin- 8. Given tan O 3 2 9. Use half…

A: Explained below

Q: 3 Show that sin 0: 8. 1 cos (20) + %3D cos (40). 8 Which of the following four statements…

A:

Q: Which is equal to (sin⁡x+cos⁡x)^2+(sin⁡x−cos⁡x)^2 using identities?   −2   1   2   −1

A: We have to find

Q: How do you evaluate ∫ sinmx cosnx dx if m is odd? What if nis odd? What if m and n are both even?

A: If n is odd use substitution with u=sin x, du=cos xdx and convert the remaining factors of…

Q: 2 /5 If cos(a) = - with π<α< compute the exact value of the following: 2 cos(2a)=| sin 2 tan 2

A: To find the required values we need to use the double angle formula and the half angle formulas.…

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: Which of the following expressions is equivalent to (1+ cos 0)²? COS 1+2 cos(0) + cos²(0) • 1+ cos²…

A: important formula   ;   (a+b)2= a2+b2+2ab

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: If cos B = 1/7, which is true?     sin (90 – B) = 1/7     sin B = 1/7     cos (90 – B0 = 7/1…

A:

Q: Which expression is equal to sin^4⁡x−cos^4⁡x / sin^2⁡x−cos^2x using identities?   −1   2   1…

A: The given expression is .sin4x-cos4xsin2x-cos2x Use identities a2-b2=(a-b)(a+b), where a and b are…

Q: 5 If sin u = 13 12 cosu = 13 3 and cos W = 5 W = --, find the exact value of each of the following:…

A:

Q: 37 in terms of sin(x) and cos(x). Rewrite cos 4

A:

Q: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

A: Given: sin7π12, cos7π12 We know that sinA+B=sinAcosB+cosAsinB…

Q: Find a simpler for for cos (x – *) O sin x - sin x O cos x - cos x COS x

A: On solving ,we get