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Answer:
cos(θ) = -12/13
csc(θ) = -13/5
Step-by-step explanation:
The relation between the cot and csc is ...
cot² + 1 = csc²
The signs of the cot and sec tell you this is a 3rd quadrant angle, where cos and csc are both negative.
Then ...
csc(θ) = -√(1 +(12/5)²) = -√(169/25)
csc(θ) = -13/5
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cos(θ) = cot(θ)/csc(θ) = (12/5)/(-13/5)
cos(θ) = -12/13
