# Cosine of Integer Multiple of Argument/Formulation 2/Examples

$\map \cos {5 \theta } = \cos^5 \theta \paren {1 - 10 \tan^2 \theta + 5 \tan^4 \theta}$
$\map \cos {6 \theta } = \cos^6 \theta \paren {1 - 15 \tan^2 \theta + 15 \tan^4 \theta - \tan^6 \theta}$