Упростить: 1-2cos^2x/cosx+sinx

Question

Упростить: 1-2cos^2x/cosx+sinx

Answer 1

= cos^2x + sin^2x - 2cos^2x / cosx+sinx = sin^2x-cos^2x / cosx +sinx = (sinx-cosx)(sinx+cosx)/ cosx+sinx = sinx-cosx