Question

y=cosx经过怎样的平移变为y=sin(2x-π/3) y=sin(2x-π/3)又怎么变为y=

Answer 1

y=sin(2x+π/6)
=cos(2x+π/6+3π/2)
=cos(2x+5π/2)
=cos[2(x+5π/4)]
y=cos(2x-π/3)
=cos(2x+5π/2-5π/2-π/3)
=cos(2x+5π/2-17π/6)
=cos[2(x+5π/4-17π/12)]
由此y=sin(2x+π/6)的图像向左平移17π/12个单位得到y=cos(2x-π/3)