# Category:Sextuple Angle Formula for Cosine

 $\ds \map \cos {6 \theta}$ $=$ $\ds 32 \cos^6 \theta - 48 \cos^4 \theta + 18 \cos^2 \theta - 1$ Sextuple Angle Formula for Cosine $\ds \map \cos {6 \theta}$ $=$ $\ds \frac 1 2 \paren {\paren {2 \cos \theta }^6 - 6 \paren {2 \cos \theta }^4 + 9 \paren {2 \cos \theta }^2 - 2 }$ Cosine of Integer Multiple of Argument/Formulation 1/Examples/Cosine of Sextuple Angle $\ds \map \cos {6 \theta}$ $=$ $\ds \cos^6 \theta \paren {1 - 15 \tan^2 \theta + 15 \tan^4 \theta - \tan^6 \theta}$ Cosine of Integer Multiple of Argument/Formulation 2/Examples/Cosine of Sextuple Angle $\ds \map \cos {6 \theta}$ $=$ $\ds -1 + 2 \cos \theta \paren { \cos 5 \theta - \cos 3 \theta + \cos \theta}$ Cosine of Integer Multiple of Argument/Formulation 5/Examples/Cosine of Sextuple Angle $\ds \map \cos {6 \theta}$ $=$ $\ds 1 - 2 \sin \theta \paren { \sin 5 \theta + \sin 3 \theta + \sin \theta }$ Cosine of Integer Multiple of Argument/Formulation 7/Examples/Cosine of Sextuple Angle $\ds \map \cos {6 \theta}$ $=$ $\ds \map \cos {5 \theta} \paren { 2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {\map \cos {\theta} } } } } } }$ Cosine of Integer Multiple of Argument/Formulation 8/Examples/Cosine of Sextuple Angle $\ds \map \cos {6 \theta}$ $=$ $\ds \map \sin {5 \theta} \paren { -2 \sin \theta + \cfrac 1 {2 \sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {2 \sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {\sin \theta } } } } } }$ Cosine of Integer Multiple of Argument/Formulation 9/Examples/Cosine of Sextuple Angle