下列函数哪些是周期函数?对于周期函数指出其周期.1.y=sin(x)+cos(x) 2.y=sin^2(x) 3.y=sin(x)+cos(x/2)
问题描述:
下列函数哪些是周期函数?对于周期函数指出其周期.
1.y=sin(x)+cos(x) 2.y=sin^2(x) 3.y=sin(x)+cos(x/2)
答
1.y=sin(x)+cos(x) =根号2*sin(x+π/4)是周期函数,周期为2π2.y=sin^2(x)=(1-cos2x)/2是周期函数,周期为2π/2=π3..y=sin(x)+cos(x/2)是周期函数,周期为4πsin(x+4π)+cos((x+4π)/2)=sin(x)+cos(x/2)...