(1+sinx-cos)/(1+sinx+cox) 怎么化简...
问题描述:
(1+sinx-cos)/(1+sinx+cox) 怎么化简...
答
sinx=2sin(x/2)cos(x/2)1+cosx=2[cos(x/2)]^21-cosx=2[sin(x/2)]^2代入:(1+sinx+cosx) / (1+sinx-cosx)=[2(cosx/2)^2+2sinx/2 cosx/2]/[2(sinx/2)^2+2sinx/2 cosx/2)]=cosx/2/sinx/2=cotx/2