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

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

 * $\map \sin {6 \theta } = 2 \cos \theta \paren { \sin 5 \theta - \sin 3 \theta + \sin \theta }$

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

Explicit derivation illustrated below: