Question

How do you simplify the expression `sin^3x+sinxcos^2x`?

Answer 1

Start by factorising, so

`sin^3x+sinxcos^2x=sinx(sin^2x+cos^2x)`

Then using the identity `sin^2A+cos^2-=1` we have

`sin^3x+sinxcos^2x` simplifies to just `sinx`