Tg(x)-sin(x)cos(x)=?

[latex]tgx - sinx cosx= frac{sin x}{cos x} - sinx cosx= frac{sin x -sin x cos^{2}x }{cos x} = \ =frac{sin x(1 -cos^{2}x) }{cos x}=frac{sin x sin^{2}x }{cos x}=tgx* sin^{2}x [/latex]