Use the power reduction formulas to rewrite the expression t

Use the power reduction formulas to rewrite the expression.

tan²(x) sin(x)

Solution

tan^2 x sin x

applying power reduction formula on tan^2 x

tan^2 x = ( 1 - cos 2x ) / ( 1 + cos 2 x )

so we can write

( 1 - cos 2x ) / ( 1 + cos 2 x ) * sin x