Question

Verify identity cot^2x + csc^2x = 2csc^2x - 1

Answer 1

Lhs= (c/s)^2 + 1/s^2 = (c^2 + 1)/s^2 = (2 - s^2)/s^2

rhs = (2/s^2) - 1 = (2 - s^2)/s^2 = lhs