已知函数f(x)=2sinxcosx+2根号3cos눀x-根号3

2024-12-18 17:16:38
推荐回答(1个)
回答1:

f(x)=2sinxcosx+2√3cos²x-√3

=2sinxcosx+√3(2cos²x-1)
=sin2x+√3cos2x
=2sin(2x+π/3)

最小正周期T=2π/2=π,振幅A=2

递减区间是2kPai+Pai/2<=2x+Pai/3<=2kPai+3Pai/2
即有[kPai+Pai/12,kPai+7Pai/12]