tana=2/3则sin^2a-2sinacosa+1=
问题描述:
tana=2/3则sin^2a-2sinacosa+1=
答
sina/cosa=tana=2/3cosa=3sina/2(sina)^2+(cosa)^2=1所以(sina)^2=4/13(cosa)^2=9/13sina/cosa>0所以sina*cosa>0sinacosa=根号(sina)^2*(cosa)^2=6/13所以原式=4/13-12/13+1=5/13