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The value of csc theta from the given diagram is 15/12
The given triangle is right angle triangle. According to trigonometry identity
csc theta = 1/sintheta
Given
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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