已知函数f(x)=sinx+sin(x-∏),求f(x)最小正周期

来源：百度知道 编辑：UC知道 时间：2024/09/28 11:18:04
已知函数f(x)=sinx+sin(x-∏),求f(x)最小正周期
sorry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!!~对不起!打错了!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

是:已知函数f(x)=sinx+sin(x-∏/2),求f(x)最小正周期!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

改过啦！！
f(x)=sinx+sin(x-π/2）
=sinx+cosx
=2(√2/2*sinx+√2/2cosx)
=2sin(x+45°)
所以，
f(x)的最小正周期：
T=2π/1=2π

f(x)=sinx+sin(x-∏) = sinx - sin(pi - x) = sinx - sinx = 0?

f(x)=sinx+sin(x-π/2）=sinx-cosx=√2sin(x-45°)

所以f(x)的最小正周期：
T=2π/1=2π

f(x)=sinx+sin(x-π/2）
=sinx-cosx
=2(√2/2*sinx-√2/2cosx)
=2sin(x-45°)
T=2π/1=2π