Question

prove that (tanx - sinx)(1+cosx)=sin³xsecx

Answer 1

L.H.S=(sinx/cosx-sinx)(1+cosx)
=(sinx-sinx.cosx/cosx)(1+cosx)
=sinx/cosx(1-cosx)(1+cosx)
=sinx/cosx(1-cos²x)
=sinx/cosx(sin²x)
=sin³x.1/cosx
=sin³xsecx
=R.H.S

Answer 2

here is your answer I hope it helps...