Prove the identity. tan(x -)- -cot(x) TC tan x 2 %3D sin(x - ) | tar(x-)- sin(x) cos) - cos(x) sin () TC + sin(x) sin %3D sin(x) = -cot(x) %3D Need Helna

Q: cos( - x) = O sin( - x) O cos( + x) cos( - x) sin( + x)

A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ

Q: (1) tanx=cot"I

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: cos' x+cos'x dx is sin x+sin'x Q 9. The value of the integral

A: Introduction :

Q: x2 In solving for the antiderivative of f(x) = (9 – x2)32 using trigonometric substitution, Jf(x)dx…

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Q: sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1…

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Q: (sin x - cos x )² + 2cos x sin x

A: To simplify trigonometric expression

Q: Differentiate. Fx) = 7V sin(x) f '(x) = Need Help? Read It Submit Answer Practice Anoth 2. -/1…

A: Solving Q1 Given:

Q: sin x(cos x-1) 8. Prove sin(n -x) – tan(t + x) | COSX

A:

Q: 21 csc' x 8. - (csc' x-1)" dx (simplify: cot' x+1= csc² x) 1 +C = tan"(x)+c ans : %3D 21 cot“ (x)

A: you can clearly understand if you follow the below solution

Q: prove the following identities: cos² (y) - sin² (y) 1 - tan² (y) = cos² (y).

A: according to bartleby guide line we do only first part of multiple questions prove…

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)

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Q: tan x -cot x sin x cos X %3D tan2x-cot2x 1-sin x %3D 1+ sin x 4. (sec x- tan x)² 3.

A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

Q: Š 4 sin(3t) 2+ cos(3t) 7 sin(3t) + dt (2+ cos(3t))²

A: Definite integration

Q: HW/Prove that: . (1) tanx=cot! tan"x= cot-1 (2) sin x = csc -11. (3) sin (sin x) = x

A: We have to prove the identities 1. tan-1x=cot-11x2. sin-1x=csc-11x3. sin-1sinx=x

Q: sin x= 6/7, cos > 0, sin y = -1/5, and cos y < 0 How do I find sin(x + y), cos(x + y), and tan(x +…

A: Given that  sinx=67, cosx&gt;0,siny=-15and cosy&lt;0. We know that…

Q: 1+tanx b) 1-tanx = tan (x + ²)

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Q: ev ve da

A: As per our guidelines we are suppose to solve first question. Kindly repost the other question as…

Q: x? sin° (x³) cos³ (x³) dx cot3 -x ) csc³ dx X- 2 | (3 – 2 tan? 5x) sec2 5x dx

A: We will solve the following

Q: S(csc x cot x + 8x")dx - sin x + x8 + c - sec x + x° + c CSc x + x° +c CSc x + x° +c - sec x + x° +c

A: