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Mathematics
Mathematics
Problem
The maximum value of
sin
(
x
+
π
6
)
+
cos
(
x
+
π
6
)
\sin\left(x + \frac{\pi}{6}\right) + \cos\left(x + \frac{\pi}{6}\right)
sin
(
x
+
6
π
)
+
cos
(
x
+
6
π
)
in the interval
(
0
,
π
2
)
\left(0, \frac{\pi}{2}\right)
(
0
,
2
π
)
is attained at a.
π
12
\frac{\pi}{12}
12
π
b.
π
6
\frac{\pi}{6}
6
π
c.
π
3
\frac{\pi}{3}
3
π
d.
π
2
\frac{\pi}{2}
2
π
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