>
数学
>
函数y=sin(2x+
π
6
)+cos(2x+
π
3
)的最小正周期和最大值分别为( )
A. π,
2
B. π,1
C. 2π,
2
D. 2π,1
人气:422 ℃ 时间:2019-08-19 04:16:53
解答
∵y=sin(2x+
π
6
)+cos(2x+
π
3
)=
3
2
sin2x+
1
2
cos2x+(
1
2
cos2x-
3
2
sin2x)=cos2x,
∴其最小正周期T=
2π
2
=π,y
max
=1.
故选:B.
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