Category:Quintuple Angle Formula for Cosine

From ProofWiki
Jump to navigation Jump to search
\(\ds \map \cos {5 \theta}\) \(=\) \(\ds 16 \cos^5 \theta - 20 \cos^3 \theta + 5 \cos \theta\) Quintuple Angle Formulas/Cosine
\(\ds \map \cos {5 \theta}\) \(=\) \(\ds \frac 1 2 \paren {\paren {2 \cos \theta }^5 - 5 \paren {2 \cos \theta }^3 + 5 \paren {2 \cos \theta } }\) Cosine of Integer Multiple of Argument/Formulation 1/Examples/Cosine of Quintuple Angle
\(\ds \map \cos {5 \theta}\) \(=\) \(\ds \cos^5 \theta \paren {1 - 10 \tan^2 \theta + 5 \tan^4 \theta}\) Cosine of Integer Multiple of Argument/Formulation 2/Examples/Cosine of Quintuple Angle
\(\ds \map \cos {5 \theta}\) \(=\) \(\ds \map \cos {\theta} + 2 \cos \theta \paren { \cos 4 \theta - \cos 2 \theta }\) Cosine of Integer Multiple of Argument/Formulation 5/Examples/Cosine of Quintuple Angle
\(\ds \map \cos {5 \theta}\) \(=\) \(\ds \map \cos {\theta} - 2 \sin \theta \paren { \sin 4 \theta + \sin 2 \theta }\) Cosine of Integer Multiple of Argument/Formulation 7/Examples/Cosine of Quintuple Angle
\(\ds \map \cos {5 \theta}\) \(=\) \(\ds \map \cos {4 \theta} \paren { 2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {2 \cos \theta - \cfrac 1 {\cos \theta } } } } }\) Cosine of Integer Multiple of Argument/Formulation 8/Examples/Cosine of Quintuple Angle
\(\ds \map \cos {5 \theta}\) \(=\) \(\ds \map \sin {4 \theta} \paren { -2 \sin \theta + \cfrac 1 {2 \sin \theta + \cfrac 1 {-2 \sin \theta + \cfrac 1 {2 \sin \theta } } } }\) Cosine of Integer Multiple of Argument/Formulation 9/Examples/Cosine of Quintuple Angle
Retrieved from "https://proofwiki.org/w/index.php?title=Category:Quintuple_Angle_Formula_for_Cosine&oldid=511012"