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Anypodetos (talk | contribs) →Properties: Diagonal matrices |
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\sin^2 X + \cos^2 X = I
</math>
If <math>X</math> is a [[diagonal matrix]], <math>\sin X</math> and <math>\cos X</math> are also diagonal matrices with <math>(\sin X)_{nn} = \sin( X_{nn})</math> and <math>(\cos X)_{nn} = \cos (X_{nn})</math>, that is, they can be calculated by simply taking the sines or cosines of the matrice's diagonal components.
The analogs of the [[trigonometric addition formulas]] hold as well:<ref name="Higham" />
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