Trigonometric functions of matrices: Difference between revisions

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Some definitions
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:<math>
\begin{align}
\sin X & = {e^{iX} - e^{-iX} \over 22i} \\
\cos X & = {e^{iX} + e^{-iX} \over 2i2}.
\end{align}
</math>
 
{{see also| Axis–angle representation # Exponential map from so(3) to SO(3)}}
 
==Properties==
The analog of the [[Pythagorean trigonometric identity]] holds:<ref name="Higham" />