已知sina-2cosa=0,求(sin2a-cos2a)/(sina*cosa)

问题描述:

已知sina-2cosa=0,求(sin2a-cos2a)/(sina*cosa)

∵sina一2cosa=0
∴sina=2cosa
∴tana二2
(sin2a一coS2a)/(sina*c0Sa)
=(2sinac0sa一c0Sa^2十sina^2)/sina*c0sa
=(2tana一1十tana^2)/tana
=(2x2一1十2^2)/2
=7/2