4sin^2α-3sinαcosα-5cos^2α
=(4sin^2α-3sinαcosα-5cos^2α)/1 ( cos^2a+sin^2a=1)
=(4sin^2α-3sinαcosα-5cos^2α)/(cos^2a+sin^2a) (分子、分母同时除cos^2a)
=(4tan^2a-3tana-5)/(1+tan^2a)
=1