Respuesta :

The value of csc theta from the given diagram is 15/12

Application of SOH CAH TOA

The given triangle is right angle triangle. According to trigonometry identity

csc theta = 1/sintheta

Given

  • Opposite = 12
  • Hypotenuse = r

sin theta = 12/r

Determine the value of r

r²  = 9² + 12²

r² = 81 + 144

r² = 225

r = 15

sin theta = 12/15

Determine the value of csc theta

csc theta = 15/12

Hence the value of csc theta from the given diagram is 15/12

Learn more on trig identity here: https://brainly.com/question/7331447

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