You know the lengths of the two legs of a right triangle, and you are trying to solve for the measures of the acute angles of that triangle. Without calculating the length of the hypotenuse, which trigonometric ratio and reciprocal trigonometric ratio would be most useful in this calculation? Why?

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.