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What is a cosine?

What is a cosine? Here are some definitions.

Noun
  1. (trigonometry) In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse. Symbol: cos
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Examples
Not surprisingly, he also discovered the infinite power series for the cosine and the tangent.
The sine and the cosine I shall have occasion to employ in the latter part of my lecture.
The optical path difference is directly proportional to the cosine of the angle of refraction through the coating.
We show that the effective reflectance of the bottom is proportional to the average cosine of the bottom slope.
Nevertheless, I bear no grudge against the sine and the cosine, which I continue to hold in high esteem.
In fact, it corresponds to the graph of a function called the hyperbolic cosine.

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