SOLUTION: tan(theta - 10) = cot(2 theta + 17) Explain how to get the answer, if you can

Algebra ->  Trigonometry-basics -> SOLUTION: tan(theta - 10) = cot(2 theta + 17) Explain how to get the answer, if you can      Log On


   

Question 853238: tan(theta - 10) = cot(2 theta + 17)
Explain how to get the answer, if you can
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
tan(theta - 10) = cot(2 theta + 17)
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Note: tan and cot are complementary functions
cot(x) = tan(90-x)
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Your problem:
cot(90-(t-10)) = cot(2t + 17)
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90-t+10 = 2t+17
3t = 100-17
3t = 83/3
t = 27 1/3
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Cheers,
Stan H.