函数f(x)=sin(x+π3)sin(x

难度:简单 题型:填空题 来源:上海

题目

函数f(x)=sin(x+

π
3
)sin(x+
π
2
)的最小正周期是T=______

答案

y=sin(x+

π
3
)sin(x+
π
2
)=(sinxcos
π
3
+cosxsin
π
3
)cosx=
1
2
sinxcosx+

解析