求函数y=sin(60-2x)+cos2x的周期
问题描述:
求函数y=sin(60-2x)+cos2x的周期
答
y=sin(60-2x)+cos2x
=sin60cos2x-cos60sin2x+cos2x
=(1+根号3)/2*cos2x-1/2*sin2x
=根号下[((1+根号3)/2)^2+(-1/2)^2]*sin(2x+w)
所以周期为2π/2=π