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

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

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

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

Explicit derivation illustrated below: