Sine of Integer Multiple of Argument/Formulation 2/Examples/Sine of Quintuple Angle

Example of Use of Sine of Integer Multiple of Argument/Formulation 2

 * $\map \sin {5 \theta } = \cos^5 \theta \paren {5 \tan \theta - 10 \tan^3 \theta + \tan^5 \theta}$

Proof
Follows directly from the Sine of Integer Multiple of Argument/Formulation 2: