define trigonometric ratios
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The ratios of the sides of a right triangle are called trigonometric ratios.
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The six trigonometric ratios relate the sides of a right triangle to its angles. Specifically, they are ratios of two sides of a right triangle and a related angle. Trigonometric functions are typically used to calculate unknown lengths or angles in a right triangle. The six functions are all related and can be defined in terms of one another.
SinesinCosinecosTangenttanCosecantcscSecantsecCotangentcotThe ratios for the three main functions — sine, cosine, and tangent — can be recalled using the acronym SOHCAHTOA. When applied to a right triangle inscribed within the unit circle with the hypotenuse equal to the radius of the circle, , , and .
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