Prove the identity. sin(x -) - -cos(x) Use the Subtraction Formula for Sine, and then simplify. sin(r - ) - (amco)(c(;)) -(conts) | sin(x) os(x sin(x) cos(x)

Q: Prove the identity. 1+ sin (-x) 1+ csc (-x) sin x

A: The following trigonometric identities are used in proving the given identity.

Q: sin(2r) dr 9- cos (2.x)

A: Integrate

Q: 4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

A:

Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c…

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx…

Q: If e/2i -/2i = sin2 then z = - 2i In(sin2) – 4kn 2i In(sin2)+ 4kT - 2i In(sin2) + 4kTt

A: Given: e-z2i=sin2

Q: True or False sin2θ =1- cos2θ.

A: We can prove or disprove trigonometric identities using trigonometric table values of angles . For…

Q: cos x-cos(5x) Prove identity: tan(2x) sin x+sin(5x)

A:

Q: d Proof Prove that [cos x] dx - sin x. -

A: To prove ddxcos x=-sin x. In order to prove the given derivative, use the definition of derivative…

Q: sin(2x) cos(2x) Prove sec(x) sin(x) cos(x)

A: Trigonometry

Q: (sin 5x + cos 5x)

A:

Q: 1. Verify the identity. Show all steps. sin x tan² x-sin x = tan x (tan x – 1) cos x sin x+cos x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3 lim 2 x2.tan=.sin- X-00

A: We have to evaluate limx→−∞x2⋅tan2x⋅sin3x It can be written as…

Q: sin(8x)cos(4x)+cos(8x)sin(4x)

A: We will find the value of the given trigonometric expression in the following step.

Q: sin (x) = -0.8. What is cos (90° - x)? Submit

A: Given: sin (x)= -0.8 Formula: cos (A-B)= cos A cos B + sin A sin B

Q: 1-cos(2x) sin²(3x) tan x-sin x Evaluate: a- limr-0* b- lim sin³x

A: (a) Given, Simply fie the above expression, On applying the limit, the solution is in 0/0 format.…

Q: sin 3x Prove the identity 4 cos x- sec x. sin x cos x

A: To proove: sin3xsinxcosx=4cosx-secx

Q: Cos 2x cos X-sin 2x sin x=radical 3/2. Use 0

A:

Q: sin (90° – x) -0.2. What is cos (x)?

A:

Q: sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

A:

Q: sin 2x cos 2X I+ 3 cos4X

A:

Q: sin4x sin2x=1/2(cos2x-cos6x). Prove the identity

A: Consider the given identity

Q: sinx=-3/5, pi<x<3pi/2, and cosB=5/13, 3pi/2<B<2pi, find cos(x-B)

A:

Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

A:

Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: 1- cos () 1- cos(x) 1- sin°(;) 1+ cos(x)

A:

Q: 39. cos (7 + x) 40. sin(27 - x) 41. sin 42. cos + x 2

A:

Q: 1-sin' x 3D sin.x 6. cosxcotx

A:

Q: 3 + cos 3x dx Evaluate sin 3x

A:

Q: 11) cos x csc X tan x - 1 11) 12) cos2x - sin2x = 1 - 2 sin²x 12)

A:

Q: sin(X)=3/5, X lies in 1st quadrant. Find cos(X)

A: The value of both sin x and cos x is positive in the first quadrant. Use the identity sin2x+cos2x=1…

Q: 3x2 sin(x³) Select one: а. In/tan x3 + cot x³| + c b. -In csc x3 + cot x³| +c С. с. In|sec x3 +tan…

A:

Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

A:

Q: 4 cos x+ cos x= sin "x- 4 2. sin x

A:

Q: -1 If cot (sin-¹ √√1-x²) = sin (tan¯'(x√6)), x ±0 then the value of x is.......

A:

Q: 1. sin x sin 2x + cos x cos 2x = COS X

A:

Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

A:

Q: cos² (In x) sin²(In x)

A: Given: I=∫cos2(lnx)sin2(lnx)xdx

Q: sin(16x) cos(8x) =;(sin( x) + sin( -8 2))

A: Let the given trigonometric function be y - y = sin(16x)cos(8x)Divide and multiply by 2 on the right…

Q: rove the identity. sin(3x)/sin(x)cos(x)=4cos(x)-sec(x)

A:

Q: VERIFY THE IDENTITY

A: By half angle formula , we have

Q: Prove the identity. sin(x-즉)--cos(x) Use the Subtraction Formula for Sine, and then simplify. sin(x…

A:

Q: sinh- x = In 2.

A:

Q: sin 2x +sin 8x/cos 2x + cos8x =tan5x. Prove the identity

A: We start with left side. And we use sinA+sinB = 2sin((A+B)/2)cos((A-B)/2) and…

Q: sin(5x)+ sin(3x) tan(4x)= cos(3x)+ cos(5x)

A: We have to prove the identity

Q: 5. sin 2 x=cos X

A:

Q: 1 + cos X 1 - cos X

A: We are given with fraction need to evaluate.

Q: Prove the identity.  cosh x - sinh x = e -x

A: Consider the given identity of L.H.S as coshx-sinhx

Q: cos 2x 17. cos x-sin x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ´1-cos x 1-cos³ 11. lim sin? x

A: The given data is limx→01-cos3xsin2x Here we use L-Hospital's rule and the L-Hospital's Rule states…