What does SOHCAHTOA relate to in trigonometry?

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SOHCAHTOA is a mnemonic device that helps remember the definitions of the sine, cosine, and tangent functions in relation to a right triangle. Each part of the acronym stands for a specific ratio involving the sides of the triangle:

  • "SOH" refers to Sine, which is the ratio of the length of the opposite side to the length of the hypotenuse (Sine = Opposite/Hypotenuse).
  • "CAH" represents Cosine, defined as the ratio of the length of the adjacent side to the length of the hypotenuse (Cosine = Adjacent/Hypotenuse).

  • "TOA" denotes Tangent, which is the ratio of the length of the opposite side to the length of the adjacent side (Tangent = Opposite/Adjacent).

This concept is fundamental in trigonometry, as it provides a valuable framework for solving problems involving right triangles. Understanding these ratios allows for the calculation of unknown side lengths or angles given certain information about the triangle.

The other options relate to different geometric concepts. The circle theorem focuses on the properties of angles and arcs in circles, properties of triangles cover various types of triangles and their congruences and similarities, and types of quadrilaterals

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