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Mathematics
Mathematics
Problem
If
cos
(
α
+
β
)
=
4
5
\cos(\alpha + \beta) = \frac{4}{5}
cos
(
α
+
β
)
=
5
4
,
sin
(
α
−
β
)
=
5
13
\sin(\alpha - \beta) = \frac{5}{13}
sin
(
α
−
β
)
=
13
5
and
α
,
β
∈
(
0
,
π
4
)
\alpha, \beta \in \left(0, \frac{\pi}{4}\right)
α
,
β
∈
(
0
,
4
π
)
, then find the value of
tan
2
α
\tan 2\alpha
tan
2
α
.
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