SOLUTION: find other fundamental identities if tan theta=8/15 and sec theta <0

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Question 648063: find other fundamental identities if tan theta=8/15 and sec theta <0
Answer by lwsshak3(11628) About Me  (Show Source):
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find other fundamental identities if tan theta=8/15 and sec theta <0
tan>0 in quadrants I and III
sec<0 in quadrants III and IV
so, we are working with a reference angle and right triangle in quadrant III
opposite side=-8
adjacent side=-15
hypotenuse=√(8^2+15^2)=√(64+225)=√289=17
..
fundamental identities:
sin theta=-8/17
cos theta=-15/17
tan theta=8/15
csc theta=-17/8
sec theta=-17/15
cot theta=15/8