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Problem
Problem
Let the smallest positive value of
x
x
x
for which the function
f
(
x
)
=
sin
(
x
3
)
+
sin
(
x
11
)
f(x) = \sin\left(\frac{x}{3}\right) + \sin\left(\frac{x}{11}\right)
f
(
x
)
=
sin
(
3
x
)
+
sin
(
11
x
)
,
(
x
∈
R
)
(x \in \mathbb{R})
(
x
∈
R
)
achieves its maximum value be
x
0
x_0
x
0
. Express
x
0
x_0
x
0
in degree i.e.
x
0
=
α
∘
x_0 = \alpha^\circ
x
0
=
α
∘
. Then, the sum of the digits in
α
\alpha
α
is a. 15 b. 17 c. 16 d. 18
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