1. Establish the identity csc(x + y) = CSC x CSC y csc x cos x + csc y cos y

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

A: Establish the identity

Q: 2+tan x cos³ x

A:

Q: 3. Differentiate a) (x3+2x)e(2x+1) b) cosxsinx

A: Topic = Derivative

Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

A:

Q: I'm having trouble trying to solve the problem csc x - csc x cos2 x = sin x. I'm having trouble…

A: you will need to use only these identities to solve the question;

Q: -tanx cscx+2secx cos² 1/2

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

Q: 1 1=_2 cscx-cotx cscx+cotx tan x

A:

Q: 4. Evaluate et cos xdx.

A:

Q: S sin³x /cosxdæ =? O a. ( ?cos'z – cosz) vcosa + C O b. ) +c rt), O d. (cosr + cosz ) /cosz + C C.

A:

Q: sin(즐) com(즉) and ton(즐) (5) from the given information. csc(x) = 5, 90° < x < 180° sin (€) cos…

A:

Q: 6T cos 8 de : so O o o O

A: Here we will solve the  given integral,

Q: +2 y = 3e" cos 2x -2

A: Solution

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

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

Q: Show that cos + i) =:IG + e) + iv3 - e) 4

A:

Q: Verify the identity (sin θ + cos θ)2 + (sin θ - cos θ)2 = 2.

A:

Q: Verify the identity: csc x cos2 x + sin x = csc x.

A: the given identity is: cscx cos2x+sinx=cscx we have to verify the identity.

Q: Verify the identity: csc x - csc x cos2 x = sin x

A: We know that, cosecx=1sinx            ⋯⋯1sin2x+cos2x=1sin2x=1-cos2x     ⋯⋯2 We have,…