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As the title says: what is, if any, the sine and cosine of an ellipse?

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An ellipse is a curve, so the concept of taking a sin or cos of it doesn't make much sense.

However, an ellipse with semi-major axis $a$ and semi-minor axis $b$ can be described by the equations $x = a \cos(t), y=b\sin(t)$ as $t$ goes from $0$ to $2\pi$.

marty cohen
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  • You can talk about the sine or cosine of the set of x or y values, but you have to be careful. That is not standard terminology, so you have to made clear what you mean. – marty cohen Nov 18 '16 at 06:58