f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)的对称轴方程,在〖—π/12.π/2〗的值域
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![f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)的对称轴方程,在〖—π/12.π/2〗的值域](/uploads/image/z/1989200-56-0.jpg?t=f%28x%29%3Dcos%282x%EF%BC%8D%CF%80%2F3%29%2B2sin%28x%EF%BC%8D%CF%80%2F4%29sin%28x%2B%CF%80%2F4%29%E7%9A%84%E5%AF%B9%E7%A7%B0%E8%BD%B4%E6%96%B9%E7%A8%8B%2C%E5%9C%A8%E3%80%96%E2%80%94%CF%80%2F12.%CF%80%2F2%E3%80%97%E7%9A%84%E5%80%BC%E5%9F%9F)
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)的对称轴方程,在〖—π/12.π/2〗的值域
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)的对称轴方程,在〖—π/12.π/2〗的值域
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)的对称轴方程,在〖—π/12.π/2〗的值域
f(x)=1/2 cos2x+√3/2 sin2x-cos2x=√3/2 sin2x-1/2cos2x
=sin(2x-π/6)
2x-π/6∈[-π/3,5π/6]
f(x)∈[-√3/2,1]