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Section A.8 Trigonometry — Add and Subtract Angles
Sine
\begin{align*}
\sin(\alpha \pm \beta) &= \sin(\alpha)\cos(\beta) \pm \cos(\alpha)\sin(\beta)
\end{align*}
Cosine
\begin{align*}
\cos(\alpha \pm \beta) &= \cos(\alpha)\cos(\beta) \mp \sin(\alpha)\sin(\beta)
\end{align*}
