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In fact, it corresponds to the graph of a function called the hyperbolic cosine .
Similar questions are investigated for the sine transforms rather than the cosine transforms.
The optical path difference is directly proportional to the cosine of the angle of refraction through the coating.
If the two angles are the same we get the sines and cosines of double the angle.
I can remember roughly how to differentiate a standard xy formula but sines, cosines and tangents are a mystery.
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