Cosine of Integer Multiple of Argument/Formulation 8/Examples/Cosine of Sextuple Angle

Example of Use of Cosine of Integer Multiple of Argument/Formulation 8

 * $\cos 6 \theta = \cos 5 \theta \paren {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {\cos \theta} } } } } }$

Proof
Follows directly from the Cosine of Integer Multiple of Argument/Formulation 8:

Explicit derivation illustrated below: