y=sin(-3x) =-sin3x y=cos(3x+π\4) =cos(π/2+3x-π/4) =-sin(3x-π/4) =-sin[3(x-π/12)]

问题描述:

y=sin(-3x) =-sin3x y=cos(3x+π\4) =cos(π/2+3x-π/4) =-sin(3x-π/4) =-sin[3(x-π/12)]
这题为什么不是向右而是向左平移
把函数y=cos(3x+π\4) 的图象适当变换可以得到y=sin(-3x)的图象,这种变换可以是
就是这题

因为由上式可知y=cos(3x+π\4)=-sin[3(x-π/12)],要将y=-sin[3(x-π/12)]变换到y=sin(-3x),则需要作加法,即:-sin[3(x-π/12+π/12)],使)-sin[3(x-π/12)]变成sin(-3x),所以是向左平移.【加上一个数是向作平移,减...