化简f(x)=2倍根号3SinxCosx+2Cosx的平方-1
问题描述:
化简f(x)=2倍根号3SinxCosx+2Cosx的平方-1
答
f(x)=√3sin2x+cos2x
=2(sin2x*√3/2+cos2x*1/2)
=2(sinxcosπ/6+cos2xsinπ/6)
=2sin(2x+π/6)