Sine and Cosine of Angle plus Integer Multiple of Pi
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Theorem
For $n \in \Z, \theta \in \R$:
Cosine of Angle plus Integer Multiple of Pi
- $\map \cos {\theta + n \pi} = \paren {-1}^n \cos \theta$
Sine of Angle plus Integer Multiple of Pi
- $\map \sin {\theta + n \pi} = \paren {-1}^n \sin \theta$