Question

How do you verify the identity `sintheta-sinthetacos^2theta=sin^3theta`?

Answer 1

see below

Explanation:

`sin theta-sinthetacos^2theta=sin^3theta`

Left Side :`=sin theta-sinthetacos^2theta`

`=sin theta(1-cos^2theta)`

`=sin thetasin^2theta`

`=sin^3 theta`

`:. =` Right Side