Question

Simplify: (sin x)/(1+cot^2 x)

Answer 1

sin³x

Explanation:

Using the trigonometric identities

1 + cot²x = csc²x

cscx =
`(1)/(sinx)`

Given

`(sinx)/(1+cot^2x)`

=
`(sinx)/(csc^2x)`

=
`(sinx)/((1)/(sin^2x) )`

= sinx × sin²x

= sin³x