Question

Please Help! Prove that the given equation is an identity.
1 + cos 2t = cot t sin 2t

Answer 1

\[1+\cos^2x - \sin^2x = 2\sin{x}\cos{x} \cdot \cot{t}\]\[1 + \cos^2x - \sin^2x = 2\cos^2{x}\]\[1 - \sin^2x = cos^2x\]\[sin^2x + cos^2x = 1\]

Answer 2

The first line uses double angle formulas.