Question

prove that (2 - 2cos^2 x -sin x) / (2sin x cos x - cos x) =tan x

I am a bit stumped by this

Answer 1

(2 - 2cos^2 x -sin x) / (2sin x cos x - cos x)
=(2 (1- cos^2 x)-sin x) / (2sin x cos x - cos x)
=(2 sin^2x -sinx)/ (2sin x cos x - cos x)
=sinx(2sinx-1)/(cosx(2sinx -1))
=sinx/cosx
=tanx

Answer 2

Thank you for your help