求下列函数的周期及最大值和最小值

问题描述:

求下列函数的周期及最大值和最小值
(1)y=sin3xcos3x
(2)y=1/2-sin^2x
(3)y=sin(x-π/3)cosx

(1)y=sin3xcos3x=1/2sin6x周期=π/3最大值=1/2最小值=-1/2(2)y=1/2-sin^2x=1/2-(1-cos2x)/2=1/2 cos2x周期=π最大值=1/2最小值=-1/2(3)y=sin(x-π/3)cosx=1/2 [sin(2x-π/3)+sin(-π/3)]=1/2 sin(2x-π/3)-...