函数f(x)=3sin(wx-π/6)(w大0)和g(x)=2cos(2x+@)(0小@小派)的图像对称轴完全相同,g(派/3)的值

问题描述:

函数f(x)=3sin(wx-π/6)(w大0)和g(x)=2cos(2x+@)(0小@小派)的图像对称轴完全相同,g(派/3)的值

函数f(x)=3sin(wx-π/6)(w>0)和g(x)=2cos(2x+φ)(0x=kπ-(π+φ)/22x+φ=2kπ==>x=kπ-φ/2∵同相,∴(π+φ)/2=π/6==>φ=-2π/3==> g(x)=2cos(2x-2π/3)∵反相,∴-(π+φ)/2=π/3==>φ=-5π/3==> g(x)=2co...