化简(1+cos2x/sin2x)乘以(1+cosx/cosx)
问题描述:
化简(1+cos2x/sin2x)乘以(1+cosx/cosx)
答
原式=(2cos²x)/(2sinxcosx)*(1+cosx)/cox
=(1+cosx)/sinx
=2cos²(x/2)/(2sinx/2cosx/2)
=cos(x/2)/sin(x/2)
=cot(x/2)