Trigonometric functions of matrices: Difference between revisions

Revision as of 16:01, 2 March 2016

Revision as of 16:12, 2 March 2016

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one has

:<math>

\sin(\theta \sigma_1) = \sin(\theta)~ \sigma_1 , \qquad \cos (\theta \sigma_1) = \cos (\theta)~I~.,

</math>

as well as, for the [[Sinc function|cardinal sine function]],

:<math>\operatorname{sinc}( \theta \sigma_1) =\operatorname{sinc}( \theta) ~I. </math>

{{see also| Axis–angle representation # Exponential map from so(3) to SO(3)}}