Trigonometric functions of matrices: Difference between revisions

Revision as of 23:34, 26 February 2016

Revision as of 10:08, 27 February 2016

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</math>

with <math>X^n</math> being the <math>n</math>-th [[Matrix multiplication#Powers of matrices|power]] of the matrix <math>X</math> and <math>I</math> being the [[identity matrix]] of appropriate dimensions. Equivalently, they can be defined using the matrix equivalent of [[Euler'smatrix formulaexponential]] along with the matrix equivalent of [[matrixEuler's exponentialformula]], <math>e^{iX} = \cos X + i \sin X</math>, yielding

:<math>

\begin{align}

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\end{align}

</math>

==Other functions==

The tangent, as well as [[inverse trigonometric functions]], [[hyperbolic function|hyperbolic]] and [[inverse hyperbolic function]]s have also been defined for matrices.<ref>[https://help.scilab.org/docs/5.5.2/en_US/section_99038107015b1d789de50bf92f154a85.html Scilab trigonometry].</ref>

==References==