Question

How do you simplify the expression `cosx(secx-cosx)`?

Answer 1

`cosx(secx-cosx)=sin^2x`

Explanation:

`cosx(secx-cosx)`

= `cosx(1/cosx-cosx)`

= `cosxxx1/cosx-cos^2x`

= `1-cos^2x`

= `sin^2x`