Eli5: why sine of an angle or cos of an angle, can not be greater than unity?

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Eli5: why sine of an angle or cos of an angle, can not be greater than unity?

In: Mathematics

4 Answers

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* The values of sine and cosine are coordinates of points on the unit circle.
* Coordinates of a point are always less than or equal to (in magnitude) their distance from the origin.
* Points on the unit circle are exactly one unit from the origin.

Therefore, the values of sine and cosine must be less in magnitude than one.

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