Sine of Integer Multiple of Argument/Formulation 7/Examples/Sine of Quintuple Angle

Example of Use of Sine of Integer Multiple of Argument/Formulation 7

 * $\sin 5 \theta = \sin \theta + 2 \sin \theta \paren {\cos 4 \theta + \cos 2 \theta}$

Proof
Follows directly from the Sine of Integer Multiple of Argument/Formulation 7:

Explicit derivation illustrated below: