SOLUTION: Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of cot theta and sin theta? Thank you!!

Question 930389: Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of cot theta and sin theta?
Thank you!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of cot theta and sin theta?

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Note:: both x and y are negative in QIII
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By definition, sec = r/x
Since sec(t) = -13/5, r = 13 and x = -5
Then y = -sqrt[13^2-5^2] = -sqrt(144) = -12
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Ans:
cot(t) = x/y = -5/-12 = 5/12
sin(t) = y/r = -12/13
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Cheers,
Stan H.
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