Sine of Integer Multiple of Argument/Formulation 1/Examples/Sine of Quintuple Angle

Example of Use of Sine of Integer Multiple of Argument/Formulation 1

 * $\sin 5 \theta = \sin \theta \paren { \paren {2 \cos \theta}^4 - 3 \paren {2 \cos \theta}^2 + 1 }$

Proof
Follows directly from the Sine of Integer Multiple of Argument/Formulation 1: