Trigonometry! 12
Geometry
Level
3
Given that \(0<\alpha,\beta<\dfrac {\pi}{4}\) such that \( \cos (\alpha + \beta) = \dfrac {4}{5} \) and \(\sin (\alpha - \beta) = \dfrac {5}{13} \) holds true, find \(\tan 2\alpha\).
by
Omkar Kulkarni