已知函数f(x)=√3sinxcosx+1/2cos2x (1)求函数f(x)的最小正周期

2025-02-22 16:20:41
推荐回答(3个)
回答1:

(1)f(x)=根号3sinxcosx+1/2cos2x
=根号3/2sin2x+1/2cos2x
=cosπ/6sin2x+sinπ/6cos2x
=sin(2x+π/6)
T=2π/2=π
函数的单调减区间π/2+2kπ小于或等于2x+π/6小于或等于3π/2+2kπ
π/6+kπ小于或等于x小于或等于2π/3+kπ

回答2:

回答3: