Q9 of 186 Page 359

If 2 sin 2θ = √3, prove that θ = 30°.

Given: 2 sin 2θ = √3

Therefore, sin 2θ = √3/2

⇒ sin 2θ = sin 60°

⇒ 2θ = 60°/2 = 30°

Therefore, θ = 30°

If √3 tan θ = 3 sin θ, prove that (sin² θ – cos² θ) = 1/3.

Prove that .

If cosec θ + cot θ = p, prove that .