问题 填空题
函数y=sin(2x+
π
3
)+cos(2x+
π
6
)的最小正周期T=______
答案

y=sin(2x+

π
3
)+cos(2x+
π
6
)=sin(2x+
π
3
)+sin(
π
2
+2x+
π
6
)=sin(2x+
π
3
)+sin(2x+
3
)=2cos2xcos(-
π
3
)=cos2x

∴最小正周期T=

2
=π,

故答案为π

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