SOLUTION: Find the values of the trigonometric functions of t from the given information. Tan t = -12/5, cos t > 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find the values of the trigonometric functions of t from the given information. Tan t = -12/5, cos t > 0      Log On


   

Question 1061203: Find the values of the trigonometric functions of t from the given information.
Tan t = -12/5, cos t > 0
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
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Find the values of the trigonometric functions of t from the given information.
Tan t = -12/5, cos t > 0
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-----> Angle t lies in QIV.


cos(t) = sqrt%281%2F%281+%2B+tan%5E2%28t%29%29%29 = sqrt%281%2F%281+%2B+%28-12%2F5%29%5E2%29%29 = 5%2F13.


sin(t) = -sqrt%281%2F%281+%2B+cotan%5E2%28t%29%29%29 = -sqrt%281%2F%281+%2B+%28-5%2F12%29%5E2%29%29 = -12%2F13.