Question

化简: tanα(cosα-sinα)+(sinα+tanα)/(cotα+cscα)

越简洁越好
越简洁越好,但必要的过程要保留

Answer 1

tanα(cosα-sinα)+(sinα+tanα)/(cotα+cscα)
=sinα -sin^2a/cosa+sin^2a/cosa
=sina