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Trigonometric Identities

\begin{eqnarray*}
\mr {\sin(-\theta)}{-\sin(\theta)}%
{\cos(-\theta)}{\cos(\theta)}
\mr {\sin(A+B)}{\sin(A)\cos(B)+\cos(A)\sin(B)}%
{\cos(A+B)}{\cos(A)\cos(B)-\sin(A)\sin(B)}
\mr {\sin^2(\theta)}{\frac{1-\cos(2\theta)}{2}}%
{\cos^2(\theta)}{\frac{1+\cos(2\theta)}{2}}
\mr {\sin(A)\sin(B)}{\frac{\cos(A-B) - \cos(A+B)}{2}}%
{\cos(A)\cos(B)}{\frac{\cos(A+B) + \cos(A-B)}{2}}
\mr {\sin(A)\cos(B)}{\frac{\sin(A+B) + \sin(A-B)}{2}}%
{\cos(A)\sin(B)}{\frac{\sin(A+B) - \sin(A-B)}{2}}
\mr {\sin(A)+\sin(B)}{2\sin\left(\frac{A+B}{2}\right)\cos\left(\frac{A-B}{2}\right)}%
{\cos(A)+\cos(B)}{-2\cos\left(\frac{A+B}{2}\right)\cos\left(\frac{A-B}{2}\right)}
\end{eqnarray*}



Subsections
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``Introduction to Digital Filters with Audio Applications'', by Julius O. Smith III, (September 2007 Edition).
Copyright © 2014-03-23 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA