Question

`cosx-cos^3x=cosx*sin^2x`?

Answer 1

See below:

Explanation:

`cosx-cos^3x=cosxsin^2x`

`cosx(1-cos^2x)=cosxsin^2x`

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

`"Remember the identity "color(red)( sin^2x+cos^2x=1=>1-cos^2=sin^2x`

`:.sin^2x=sin^2x`