如何化简f(x)=2sinxcosx+cos2x-1

问题描述:

如何化简f(x)=2sinxcosx+cos2x-1

解f(x)=2sinxcosx+cos2x-1
=sin2x+cos2x-1
=√2(√2/2sin2x+√2/2cos2x)-1
=√2sin(2x+π/4)-1