化简f(x)=2cos(x-π/3)+2sin(3π/2+x)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 13:13:21
![化简f(x)=2cos(x-π/3)+2sin(3π/2+x)](/uploads/image/z/4018858-34-8.jpg?t=%E5%8C%96%E7%AE%80f%EF%BC%88x%EF%BC%89%3D2cos%EF%BC%88x-%CF%80%2F3%EF%BC%89%2B2sin%EF%BC%883%CF%80%2F2%2Bx%EF%BC%89)
化简f(x)=2cos(x-π/3)+2sin(3π/2+x)
化简f(x)=2cos(x-π/3)+2sin(3π/2+x)
化简f(x)=2cos(x-π/3)+2sin(3π/2+x)
f(x)=2cosxcosπ/3+2sinxsinπ/3+2cos(π/2-3π/2-x)=cosx+根3sinx+2cos(π+x)=根3sinx-cosx=2(根3/2sinx-1/2cosx)=2(cosπ/6sinx-sinπ/6cosx)=2sin(x-π/6)