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Problem
Problem
The number of solutions of the equation
16
(
sin
5
x
+
cos
5
x
)
=
11
(
sin
x
+
cos
x
)
16(\sin^5 x + \cos^5 x) = 11(\sin x + \cos x)
16
(
sin
5
x
+
cos
5
x
)
=
11
(
sin
x
+
cos
x
)
in the interval
[
0
,
2
π
]
[0, 2\pi]
[
0
,
2
π
]
is a. 6 b. 7 c. 8 d. 9
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