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Given that cot theta = 15/8 (theta acute), determine the values of sin theta and cosec theta.

1. sin theta = 8/17, cosec theta = 17/8
2. sin theta = 15/17, cosec theta = 17/15
3. sin theta = 8/15, cosec theta = 15/8
4. sin theta = 17/8, cosec theta = 8/17

Correct answer: sin theta = 8/17, cosec theta = 17/8

Solution

With base 15 and perpendicular 8, the hypotenuse is 17; hence sin theta = 8/17 and cosec theta = 17/8.

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