Based on the given values, we can use the acronym SOHCAHTOA to determine sin theta, cos theta, and tan theta as:
sin theta = opposite/hypotenuse = -15/17
cos theta = adjacent/hypotenuse = 8/17
tan theta = opposite/adjacent = -15/8
Then, using the reciprocal identities, we can determine csc theta, sec theta, and cot theta as:
csc theta = 1/sin theta = -17/15
sec theta = 1/cos theta = 17/8
cot theta = 1/tan theta = -8/15
Therefore, the answers are:
1. sin theta = -15/17
2. cos theta = 8/17
3. tan theta = -15/8
4. csc theta = -17/15
5. sec theta = 17/8
6. cot theta = -8/15