3x 1. Determine the exact value of sin(a - b), if cosa = where ≤ ≤ 2 and cos b where ≤ b ≤n. 13

Q: 4. Which is equal to cos? O sin O COS 2π 3

A: Given :cosπ3

Q: Prove the following identity: cos³x-sin³x cosx-sinx = 1 + sinx coSX

A: We know,      a3 - b3 = (a - b)(a2 + b2 + ab) Also,     sin2x + cos2x = 1

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

A:

Q: . Solve for x: 2 cos x + sin x = 2, 0<x < 27.

A:

Q: Evaluate (a) sin-1 (b) cos-1 (-)

A: Solve the trigonometry

Q: Verify. a. (2 tan x ) / (1 + tan2 x) = sin(2x) b.  1 / (1 − sin θ) + 1 / (1 + sin θ) = 2 sec2 θ c. 1…

A: Part a)Given:

Q: Please help me answer the question. Thanks!

A: Given,

Q: 7. Determine all the solutions to the equation in the interval [0, 27): sin 20 cos0 – cos 20 sin0 +1…

A: As we know that Sinx-y=SinxCosy-CosxSinyThe genaral solution of Sinz=-1  then z=Sin-1-1=nπ±π2

Q: Q.#10 Using sine-12/13 and << from Q. #9, please find the following. Hint: You'll need the tricks…

A:

Q: 16. Establish the identity: os 0)² + (sin 0- cos 0)2 = 2 %3D

A: We need to establish the identity  (sinθ+cosθ)2+(sinθ-cosθ)2=2

Q: 12. Verify the following identity: 1+ sin x COS X + COS X 1+ sin x 2 sec x

A: