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

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

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

Explicit derivation illustrated below: