Category:Sextuple Angle Formula for Sine

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\(\ds \map \sin {6 \theta}\) \(=\) \(\ds \sin \theta \paren { 32 \cos^5 \theta - 32 \cos^3 \theta + 6 \cos \theta }\) Sextuple Angle Formulas/Sine
\(\ds \map \sin {6 \theta}\) \(=\) \(\ds \sin \theta \paren { \paren {2 \cos \theta}^5 - 4 \paren {2 \cos \theta}^3 + 3 \paren {2 \cos \theta} }\) Sine of Integer Multiple of Argument/Formulation 1/Examples/Sine of Sextuple Angle
\(\ds \map \sin {6 \theta}\) \(=\) \(\ds \cos^6 \theta \paren {6 \tan \theta - 20 \tan^3 \theta + 6 \tan^5 \theta}\) Sine of Integer Multiple of Argument/Formulation 2/Examples/Sine of Sextuple Angle
\(\ds \map \sin {6 \theta}\) \(=\) \(\ds 2 \cos \theta \paren { \sin 5 \theta - \sin 3 \theta + \sin \theta }\) Sine of Integer Multiple of Argument/Formulation 5/Examples/Sine of Sextuple Angle
\(\ds \map \sin {6 \theta}\) \(=\) \(\ds 2 \sin \theta \paren { \cos 5 \theta + \cos 3 \theta + \cos \theta }\) Sine of Integer Multiple of Argument/Formulation 7/Examples/Sine of Sextuple Angle
\(\ds \map \sin {6 \theta}\) \(=\) \(\ds \map \sin {5 \theta} \paren { 2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta } } } } }\) Sine of Integer Multiple of Argument/Formulation 8/Examples/Sine of Sextuple Angle
\(\ds \map \sin {6 \theta}\) \(=\) \(\ds \map \cos {5 \theta} \paren { 2 \sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {2 \sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {2 \sin \theta } } } } }\) Sine of Integer Multiple of Argument/Formulation 9/Examples/Sine of Sextuple Angle
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