11. Prove each identity. cos 2x + 1 a) sin 2x = cot x h) CSc 2x + cot 2x = cot x sin 2x 2 tan x b) 1 = cot x i) 1 + tan´ x = sin 2x Cos 2x c) (sin x + cos x)? = 1 + sin 2x sin 0 COS CSc t d) cos 0 = cos 20 j) sec 2t = CSc t - 2 sin t

Q: Choose the rule that JUStfies each Step (CSCx -1) SIn JC = Cot x Cos sx State ment Rule Σ = Cot x…

A: The given equation,csc2x-1sinx=cotx cosx

Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

A:

Q: sec 0 tan 0 Establish the identity = sin 0 1+ tan? 0

A:

Q: Prove a) cos(0+0) = COSOCOS-sinesind

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: Prove: sin x tan x+cos xcot x+2 sin x cos x = tan x+ cot x + cos²

A:

Q: 9. Verify (working on one side): CScx = COSX tanx+cotx

A:

Q: k = 0, +-1, +-2, ... ) x = +- Pi/2 + kPi A) cosx+cos2x=0 B) sinx+sin2x=0 C) sin2x-cosx=0 D)…

A:

Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

A:

Q: Prore each of the following identities: (ii) (1+cot 0)sin 0 1 1 (1) (1-cos 0)cosec o=1 rie-1)cot 0 1…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Prove tan x + cos x = sin x (sec x + cot x).

A: We have to prove the identity: tan x+cos x=sin x sec x+cot x We know the relation between…

Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)

Q: Verify identity (sin θ - cos θ)/sin θ+(cos θ - sin θ)/cos θ= 2 - sec θ csc θ.

A: Given identity is sinθ-cosθsinθ+cosθ-sinθcosθ=2-secθcosecθ.

Q: 6) Verify tan x + cot x = sin(2x)

A: Simplification