Trigonometric Identities | Introduction to Digital Filters

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Free Books Introduction to Digital Filters

Trigonometric Identities

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

Trigonometric Identities, Continued

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

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Half-Angle Tangent Identities
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The Exponential Function

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Introduction to Digital Filters

This book is a gentle introduction to digital filters, including mathematical theory, illustrative examples, some audio applications, and useful software starting points.

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