Question

How do you prove `sin2x=(tanx)(1+cos2x)`?

Answer 1

Prove trig expression

Explanation:

Use the trig identities:
sin 2x = 2sin x.cos x
`1 + cos 2x = 2cos^2 x`
Right side of the equation -->
`((sin x)/(cos x))(2cos^2 x) = 2sin x.cos x = sin 2x`. OK