问一高中数学题,已知函数f(x)=cosx-√3sin(π-x)

2025-05-22 00:19:23
推荐回答(1个)
回答(1):

f(x)=cosx-√3sin(π-x)
=cosx-√3sinx
=2(1/2cosx-√3/2sinx))
=2(sinπ/6cosx-cosπ/6sinx)
=2sin(π/6-x)=-2sin(x-π/6)
所以最小正周期为2π
值域为[-2,2]