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

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

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

Explicit derivation illustrated below: