Complete the proof of the identity by choosing the Rule that justifies each step. sin'x+ 3 cos?x=1+2 cos?x To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Statement Rule 2 sin¨x + 3 cos´x = 1 - cos´x + 3 cos´x Rule ? = 1 + 2 cosʻx Rule ?

Q: Differentiate Expressions

A: This question can be solved using the concept of differentiation of trigonometric functions.

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: cos x ,2 1- cos x

A: We have to simplify the trigonometric expression  cos2x1-cos2x.

Q: dy Find dif sin x + 2 cos 2y) = 1 dx

A:

Q: Prove the identity. cosx sin (x+ y) – sinx cos (x+y)= sin y

A:

Q: s 4

A: To simplify (cos 3x)(cos x)-(sin 3x)(sin x)

Q: Simplify. cos(-4x) · cos 2x – sin(-4x) · sin 2x cos(-2x_ sin(-6x) cos(-3x) cos(-x)

A: Using Cos(A+B) formula

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

A:

Q: Verify identity cos2 x - sin2 x = 2 cos2 x - 1.

A: cos2x -sin2x=2cos2x-1

Q: What are the differences between cosx and cos ¹x

A:

Q: Choose 2 of the 3 identities below to verify. Be sure to show every step. 2(tanx - cotx) a. tan?x-…

A:

Q: Evaluate tan (cos-¹(-3)) 5

A:

Q: Rewrite cos ( x –) in terms of sin(x) and cos(x) 3

A: we know that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Q: Which expression does (sin x)(cos 2x) + (cos x)(sin 2x) simplify to?  cos 3x  −sin x  sin 3x…

A: