The trigonometric identity `(tan^2x)/(1tan^2x) = sin^2x` has to be proved Start with the left hand side `(tan^2x)/(1tan^2x)` Substitute `tanx = sin x/cos x` Verify the identitytan 2 x (1 cos 2x) = 1 cos 2x asked in Mathematics by uRanus calculus; Using the identities 1 − cos 2 θ = 2 sin 2 θ 1\cos 2\theta = 2 \sin^2 \theta 1 − cos 2 θ = 2 sin 2 θ and sin 2 θ = 2 sin θ cos θ \sin 2\theta = 2\sin \theta \cos \theta sin 2 θ = 2 sin θ cos θ gives csc 2 θ − cot 2 θ = 1 − cos 2 θ sin 2 θ = 2 sin 2 θ 2 sin θ cos θ = sin θ cos θ = tan θ
bestpictjcry Tan 2x Tan 2x
