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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Sine and Cosine are defined as the ratios of sides of a right-angle triangle.

The denominator in the ratio is the hypotenuse of the triangle and the numerator is one of the other sides of the same triangle.

The hypotenuse (denominator of the fraction) is always longer than the other sides of the right triangle, therefore their fractions are always smaller than 1.

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