~1-cos 0 Evaluate p² sin o dp dø do

Q: 4. Establish the identity: sec ar - secr sin2 = cos LIC HS O6Y

A: Establish the identity

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: 2. Evaluate cos 0 sin 0 d0

A:

Q: tan e de (1+ In cos ele

A:

Q: snip

A:

Q: csc2 x + sec? a Csc* cos?

A: Given:       csc2x+sec2x=csc2xcos2x

Q: Find 10. cos°0 do

A: Given:  Let I=∫0π cos6 θ dθ To Find: To evaluate the given integral.

Q: 2. Identify each of the following polar equations and state the correct graph: a. r 2-2 cos 0 i. ii.…

A:

Q: Verify the identity. 4 sec? y - 4 cot( - y) =- 4 sec? y - 4 cot (- y) - 4 (sec² y - = 4

A:

Q: Evaluate 3-point (sinx²³+ Cosx²) doc using formula. Gaussian

A:

Q: sin 2t Cos 2t I) sec t = 1) sin t COs t

A:

Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

Q: 1+sin x 4 15. Evaluate o cos2 x

A: Integral of sec^2x is tanx and secxtanx is secx

Q: -2n 1 9. Evaluate : de 6+ sine

A: Given, ∫02π16+sinθdθ=2∫0π16+sinθdθ Let us take…

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: 3下 2 cos x 1-Sin x

A:

Q: Let E R. Show that cos 20 cos²0-sin² 0.

A:

Q: 6. Rewrite over a common denominator: 1 /1 - cos v + 1/ 1 + cos v

A: We have given 11-cosv+11+cosv Then, 11-cosv+11+cosv=1+cosv+1-cosv1-cosv1+cosv=21-cos2v=2sin2v

Q: 2 2 cos 0 d0 V1 – sin 0

A: Given:        ∫0π2cosθ1-sinθdθ substitute u=1-sinθ→dudθ=-cosθ→dθ=-1cosθdθ      =∫10-1udu…

Q: d²p If p = a? cos? 0+ b² sin2 0, then show that p+ a²b? %3D COS p3

A:

Q: e the triangle. For the sides, give an expres B C 101° a A 42° b=40 C

A: Step 1: From the figure, let's write the data:∠A=42∘,∠B=101∘,b=40,we have to find exact and…

Q: (4r + 5)2 2 dr + tan r-y = Cos z

A: Given differential equation is 2dydx+tan x·y=(4x+5)2cos xy3

Q: verify the identity seco+1 2 COS 2 - 2 sec 0

A: Verify the identity: cos2θ2=secθ+12secθ

Q: sin z sin- is equal to 2

A:

Q: find the exact value cos151ocos1o + sin151osin1o

A: We have to use cosAcosB+sinAsinB= cos(A-B)With A=151 and B=1

Q: cos a Jsin a

A: Given: ∫cos5αsinαdα =∫(1-sin2α)2cosαsinαdαApply u-substitution u=sinα…

Q: 1 minus the fraction of cos squared theta/ 1 plus sin of theta

A: Use Pythagorean identity sin^2 theta + cos^2 theta=1  This gives, cos^2 theta = 1 - sin^2 theta

Q: I sin r cos xdx. 6. Evaluate sin ¹3 3

A:

Q: 2 sin COS

A: we use the formula :Sin 2θ = 2 sinθ cosθ.

Q: Find cos theta is sin theta = 1/2 and theta terminates in QII

A:

Q: Evaluate sin z -dx /4 - coS I

A: Use the substitution method and first simplify the integration than integrate.

Q: -1+3 cos 0 = 3V3 - 1

A: