Question

Prove that following identities, where the angles involved are acute angles for which the trigonometric ratios as defined: ${\tan }^2\theta -{\sin }^2\theta ={\tan }^2\theta {\sin }^2\theta$.

Answer 1

L.H.S.=tan2θ−sin2θL.H.S.=tan2⁡θ−sin2⁡θ