已知函数f(x)=sin(x+θ)+√3cos(x-θ)为奇函数,θ∈(0,π),求θ的值_数学解答

已知函数f(x)=sin(x+θ)+√3cos(x-θ)为奇函数,θ∈(0,π),求θ的值

人气：419 ℃　时间：2020-09-30 20:29:20

解答

f(x)=sin(x+θ)+√3cos(x-θ)f(-x) = sin(-x+θ)+√3cos(-x-θ) = -sin(x-θ)+√3cos(x+θ)f(x) = -f(-x)sin(x+θ)+√3cos(x-θ) = sin(x-θ)-√3cos(x+θ)sin(x+θ)+√3cos(x+θ) = sin(x-θ)-√3cos(x-θ)(1/2)sin...