What is the mnemonic for basic trigonometric ratios involving sine, cosine, and tangent?

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The mnemonic SOHCAHTOA is widely recognized for helping students remember the fundamental trigonometric ratios related to a right triangle. It breaks down as follows:

  • "SOH" stands for Sine = Opposite over Hypotenuse, meaning the sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
  • "CAH" stands for Cosine = Adjacent over Hypotenuse, indicating that the cosine of an angle is the ratio of the length of the adjacent side to the hypotenuse.

  • "TOA" stands for Tangent = Opposite over Adjacent, which defines the tangent of an angle as the ratio of the length of the opposite side to the length of the adjacent side.

This structured approach provides an easy way to access the relationships between the angles and sides of right triangles, making it an essential tool for students studying trigonometry. The other options do not represent commonly used mnemonics for trigonometric ratios and therefore do not serve the same purpose in aiding memory retention in this context.

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