题目
函数f(x)=cosx(sinx+cosx)(x∈R)的最小正周期是______.
提问时间:2021-01-25
答案
f(x)=cosx(sinx+cosx)
=cosxsinx+cos2x
=
sin2x+
(cos2x+1)
=
=cosxsinx+cos2x
=
1 |
2 |
1 |
2 |
=
|