Question

Prove that sinx/1+sinx=1-((1-sinx)/(cosx^2))? I need help even starting this, and I need an answer soon

Answer 1

`LHS=sinx/(1+sinx)`

`=(sinx(1-sinx))/((1+sinx)(1-sinx)`

`=1+(sinx(1-sinx))/(1-sin^2x)-1`

`=1+(sinx-sin^2x-1+sin^2x)/(1-sin^2x)`

`=1+(sinx-1)/cos^2x`

`=1-((1-sinx)/cos^2x)=RHS`