求高手化简f(x)=2*根号3*sinx*cosx+2cosx平方-1

问题描述:

求高手化简f(x)=2*根号3*sinx*cosx+2cosx平方-1

f(x)=2*根号3*sinx*cosx+2cosx平方-1=
=√3sin2x+cos2x
=2*(√3/2sin2x+1/2cos2x)
=2(sin2xcosπ/6+cos2xsinπ/6)
=2sin(2x+π/6)