(1)
f(x)=√3sinx/4cosx/4+cos²x/4
=√3/2*sin(x/2)+1/2*[cos(x/2)+1]
=√3/2*sin(x/2)+1/2*cos(x/2)+1/2
=sin(x/2+π/6)+1/2
(2)
函数f(x)的图像上每一点的横坐标缩短为原来的1/4是g(x)=f(4x)=siin(2x+π/6)+1/2
纵坐标不变,然后再向右平移π/6个单位后为h(x)=g(x-π/6)=siin(2x-π/6)+1/2
(1)
f(x)=√3sinx/4cosx/4+cos²x/4
=√3/2*sin(x/2)+1/2*[cos(x/2)+1]
=√3/2*sin(x/2)+1/2*cos(x/2)+1/2
=sin(x/2+π/6)+1/2
(2)
函数f(x)的图像上每一点的横坐标缩短为原来的1/4是g(x)=f(4x)=siin(2x+π/6)+1/2
纵坐标不变,然后再向右平移π/6个单位后为h(x)=g(x-π/6)=siin(2x-π/6)+1/2