~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: snip

A:

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: cscax sin(xth Sind dx

A: Here given as As we know

Q: ) Prove that 2+sinZA Cos A-SinA

A: To Prove: cos3A-sin3AcosA-sinA=2+sin2A2

Q: 8. Show that sin a (1+ tan a) + cos a (1 + cot a) = sec a + csc a.

A:

Q: Evaluate S cos ve Vē sin? ve

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

Q: Find dr r = 1 - 04 sin 0

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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: snip

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

A:

Q: Plot each complex number: 1. -3i 3 2. 1. -2 -1 5. -11 -2

A: In complex plane  z = x + iy    = (x,y)

Q: If sin 0 + cose =p and sec 0 + cosece = q,show that q (,? – 1) = 2p

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: 2 xy ds X = 4 Cos o c9= 4 Sin o < O < T

A:

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: ( cos rdx = CO Select one: a. x sin2x +c 2 b. * sin2r 41 sin2r 41 C. sin21 C d. a +. 21

A:

Q: 14. Evaluate cos 3x+ dx. 2

A:

Q: 22. Ans. see a B The expression tan (A) 4 (B) 6 (C) S (D) 10 (C, D) sec* B tan² a (wherever defined)…

A: It is given that: sec2 π9+sec2 2π9+sec2 4π9=S ∑k=189cos6k0=ab where a and bhave no common factor…

Q: x sin 2x sin COSX 8. Prove that: %3D 2x-7

A:

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

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Q: lim ze = -9 cos 3 + i9 sin 3. %3D Select one: O True O False

A: The statement is TRUE  The detailed solution is as follows below:

Q: xz •Evaluate So So So ²³x² sinydydzdx X

A:

Q: 2 b. sin 0 tan 0 + cos 0 sec 0 +1 ― = sec²0 cos²0 COS Booklet 5

A: