再帮我答一题嘛已知R是实数集,x∈R,平面向量a=(1,sin^2x-cos^2x)平面向量b=(cos(2x-π/3),1),函数f(x)=向量a乘向量b.求f(x)的最小周期

Question

再帮我答一题嘛
已知R是实数集,x∈R,平面向量a=(1,sin^2x-cos^2x)平面向量b=(cos(2x-π/3),1),函数f(x)=向量a乘向量b.求f(x)的最小周期

Answer 1

(x)=cos(2x-兀/3)+sin^2x-cos^2x=cos(2x-兀/3)-cos2x
=1/2*cos2x+√3/2*sin2x-cos2x
=√3/2*sin2x-1/2*cos2x
=sin(2x-π/6)
T=π