Question

为得到函数y=sin(2x-π/3) 的图象,只需将函数y=sin(2x+π/6) 的图像向右平移多少

Answer 1

y=sin(2x-π/3)
=sin(2x-π/2+π/6)
=sin[2(x-π/4)+π/6]
所以向右π/4

Answer 2

y=sin(2x-π/3) y=sin(2x+π/6)=sin2(x+π/12)=sin2(x+π/4-π/6)
y=sin(2x-π/3)=sin2(x-π/6) 所以只需把y=sin(2x-π/3) 向右平移π/4个单位就可得到y=sin(2x-π/3)