> 数学 >
函数f(x)＝sin(x+
π
3
)sin(x+
π
2
)的最小正周期是T=______
人气：400 ℃　时间：2020-03-27 12:38:51
解答
y＝sin(x+
π
3
)sin(x+
π
2
)＝(sinxcos
π
3
+cosxsin
π
3
)cosx=
1
2
sinxcosx+
3
2
cos2x＝
1
4
sin2x+
3
2
•
1+cos2x
2
=
3
4
+
1
2
sin(2x+
π
3
)∴T=π．
故填：π．
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