Question

已知函数f(x)=sin(x/3)cos(x/3)+根号三*cos^2(x/3)(1)求函数f(x)图像的对称中心的坐标

Answer 1

f(x)=sin(x/3)cos(x/3)+√3*cos^2(x/3)

=1/2*sin(2x/3)+√3*[cos^2(x/3)-1/2+1/2]

=1/2*sin(2x/3)+√3/2*[cos(2x/3)+1/2]

=sin(2x/3+π/3)+√3/2

1. 2x/3+π/3=kπ x=3k/2-π/2

对称中心(3k/2-π...