Sine of Integer Multiple of Argument/Formulation 2/Examples/Sine of Sextuple Angle

Example of Use of Sine of Integer Multiple of Argument/Formulation 2

 * $\map \sin {6 \theta } = \cos^6 \theta \paren {6 \tan \theta - 20 \tan^3 \theta + 6 \tan^5 \theta}$

Proof
Follows directly from the Sine of Integer Multiple of Argument/Formulation 2: