Simplify (SiNx + TaNx) / cos ^ 2x + sin ^ 2x + cosx

Simplify (SiNx + TaNx) / cos ^ 2x + sin ^ 2x + cosx

(sinx+tanx)/(cos^2x+sin^2x+cosx)
=(sinx+sinx/cosx)/(1+cosx)
=sinx(cosx+1)/[cosx(1+cosx)]
=sinx/cosx
=tanx