Sine of Integer Multiple of Argument/Formulation 9/Examples

Examples of Use of Sine of Integer Multiple of Argument/Formulation 9

Sine of Quintuple Angle

$\map \sin {5 \theta } = \map \cos {4 \theta} \paren { 2 \sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {2\sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {\sin \theta }} }} }$

Sine of Sextuple Angle

$\map \sin {6 \theta } = \map \cos {5 \theta} \paren { 2 \sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {2\sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {2\sin \theta }} }} }$