Question

How do you simplify `cos^3 (x) + sin^2 (x) cos (x)`?

Answer 1

`cos^3x+sin^2xcosx=cosx`

Explanation:

`cos^3x+sin^2xcosx`

`=cosx(cos^2x+sin^2x)`

but `cos^2x+sin^2x=1`

`:. cos^3x+sin^2xcosx=cosx`