Question

If sin A = y, then express cos A and tan A in terms of y.

Prove the following trigonometric identity : (1 + cosec A)/cosec A = cos²A/(1 − sin A)

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

If cotθ + cosθ = p and cotθ – cosθ = q, prove that p² – q² = 4√pq