Triangle R S T is shown. Angle R S T is a right angle. The length of R S is 10, the length of R T is 26, and the length of S T is 24. Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios. sin( ) = Twelve-thirteenths tan( ) = Five-twelfths

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Answer:

  • sin(R) = 12/13
  • tan(T) = 5/12

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and trig functions of the acute angles. It tells you ...

  Sin = Opposite/Hypotenuse

  sin(R) = 24/26 = 12/13

and ...

  Tan = Opposite/Adjacent

  tan(T) = 10/24 = 5/12

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Answer: SIN = R and TAN = T