Quintuple Angle Formulas/Tangent

Theorem

 * $\tan \left({5 \theta}\right) = \dfrac {\tan^5 \theta - 10 \tan^3 \theta + 5 \tan \theta} {1 - 10 \tan^2 \theta + 5 \tan^4 \theta}$

where $\tan$ denotes tangent.