Question

Prove that (cos A + sin A – 1)/(cos A – sin A + 1) = cosec A – cot A

Prove that : (1 + 1/tan² θ)(1 + 1/cot² θ) = 1/(sin² θ – sin⁴ θ)

If sin 3A = 1, then find the value of cos 2A – tan² 45°.

If (sec A + tan A) (1 – sin A) = k cos A, then find the value of k.

If √3 sin θ = cos θ, then value of θ is