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==Mathieu sine and cosine==
[[Image:MatheiuCosine.gif|frame|right|Mathieu cosine <math>MC(1,0.2,x)</math> (green) and <math>\cos(x)</math> (redt).]]
For fixed a,q, the '''Mathieu cosine''' <math>MC(a,q,\xi)</math> is a function of <math>\xi</math> defined as the unique solution of the Mathieu equation which
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