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Mathematics
Mathematics
Problem
If
cos
5
α
=
cos
5
α
\cos 5\alpha = \cos^5 \alpha
cos
5
α
=
cos
5
α
, where
α
∈
(
0
,
π
2
)
\alpha \in \left( 0, \frac{\pi}{2} \right)
α
∈
(
0
,
2
π
)
, then find the possible values of
(
sec
2
α
+
csc
2
α
+
cot
2
α
)
(\sec^2 \alpha + \csc^2 \alpha + \cot^2 \alpha)
(
sec
2
α
+
csc
2
α
+
cot
2
α
)
.
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