EVALUATE -dx + 144 ,2 O x – 12tan-1 12 none 1 -sin' 12 x – -1 +c 12 O x – tan-1 12

Q: Differentiate Expressions

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

Q: 2+tan x cos³ x

A:

Q: The function re* sin(8x) is annihilated by the operator

A:

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: cosx dx sinx +1 * Evaluate (A) none of these sen + In|sinx + 1| +C B © e - In|sinx +1| + C 1 ·+ C…

A: According to the problem, we have

Q: tan x + √ 3 = 0

A: To solve for x.

Q: 2. sin 2x 1 - sin² x = 2 tan x

A: Aim: To show that sin(2x)1-sin2(x)=2tan(x)

Q: -tanx cscx+2secx cos² 1/2

A: Solution: The objective is to find the value of the given expression

Q: 2dx 2 2 cos x√ 4tanx - tan x S-

A:

Q: dx %3D = 7 in the expression for ap and simplify. Substitute dt dt x + 5sin 5x(cos 5x) dx dD dt Vx +…

A: Here we have to substitute the given derivative.

Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: BIN 2 sin² x cos x dx

A:

Q: 2 sin2x + sin x -1 =0

A: To Determine: Solve this equation:

Q: 2. S 2 tan x secx - tan x d.r

A:

Q: -1 +tan (x), then

A: Trigonometry: y=cot-1(1x2)+tan-1(x2)y=tan-1(x2)+tan-1(x2)y=2tan-1(x2)

Q: s 4

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

Q: sin (30)cos (32) %3D

A: Topic = Trigonometry    using formulascos 2x = 1-2 sin2xcos 2x = 2 cos2x - 1

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

A:

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

A: cos2x -sin2x=2cos2x-1

Q: 1. (cos5 2x sin5 2x) dx 2. (tan5 4x tan² 2x sec2x)dx 3. (sin 5x cos 5x)dx

A: Step 1:1. I=∫(cos5(2x)sin5(2x))dxLet v=2x. Then dv=2dx, so 21​dv=2dx.Rewrite using u1 and…

Q: If () Z = tan || then 2z sin x 1+ z2

A:

Q: tan x dx sec x+4 cosx 5.

A: