Prove the following identity. Enter all your work 2. tan x+ sec x 1+2 sin x + sinx X. sec x- tan x 2. COS X cos x BIUS I

Q: Use the method of substitution to evaluate | 2x cos x² dx. sin x? + c – sin x? + c sin x? + c sin x-

A: We use substitution method

Q: Prove the identity: 2 2 sec²x - 2 tan x 2 CS<x Sin 2x seex

A: sec2x - tan2x = 1 sinx = 1/cscx cosx = 1/secx 2sinx cosx  = sin2x

Q: Expand and simplify: sin(x+3)-cos(+ x) 6 COS X

A:

Q: tan x-1 3. tan x - 1 sin? x +3 sin x +2 4. sin x +2

A:

Q: Which of the following expressions is equivalent to O tan x + secx O cos x + cotx O cotx+sec x sin…

A: Which of the following expression is equivalent to cosx + tanxsinx?

Q: Establish the identity. sin x+ sin y X+y = tan COS X+ COs y 2.

A:

Q: Verify the identity. (Simplify at each step.) cos³ x sin“ x = (sin“ x – sin x)cos x cos x sin“ x =…

A: Using First Identity Of Trigonometry.

Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: Which set of rating angle measures is equivalent to cos To the negative one parenthesis negative √3…

A: We need to find θ such that cosθ=(-1)-32

Q: 1. Which expression is equal to tan² x sin² x using identities? O tan² x + sin² x O cot² x + sin² x…

A: Formula used

Q: 12. Verify the following identity: 1+ sin x COS X + COS X 1+ sin x 2 sec x

A: