齐次式求值,一次分子分母除以cos,二次除以cos方,含常数用1=(cosa)^2+(sina)^2替换再除cos方。
1,原式=(4tana-2)/(5+3tana)=10/14=5/7
2,原式=sinacosa/[(cosa)^2+(sina)^2]=tana/[1+(tana)^2]=3/10
3原式=1+2sinacosa=1+2*3/10=8/5
tana=3
(4sina-2cosa)/(5cosa+3sina)
=(4sina/cosa-2)/(5+3sina/cosa)
=(4tana-2)(5+3tana)
=(4*3-2)(5+3*3)
=(12-2)(5+9)
=10*14
=140