Sine of Integer Multiple of Argument/Formulation 5/Examples/Sine of Quintuple Angle

Example of Use of Sine of Integer Multiple of Argument/Formulation 5

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

Proof
Follows directly from the Sine of Integer Multiple of Argument/Formulation 5:

Explicit derivation illustrated below: