SOLUTION: If sin theta = -5/13 and theta terminates in 3rd quadrant find cos theta and tan theta.

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Question 1061978: If sin theta = -5/13 and theta terminates in 3rd quadrant find cos theta and tan theta.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
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If sin theta = -5/13 and theta terminates in 3rd quadrant find cos theta and tan theta.
~~~~~~~~~~~~~~~~~ 

In QIII   =  =  =  =  =  = .


Then    =  =  = .

Solved.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

If sin theta = -5/13 and theta terminates in 3rd quadrant find cos theta and tan theta.


With y = - 5, and r = 13, we have a 5-12-13 Pythag-triple triangle

Therefore, x MUST = - 12 (x is NEGATIVE in 3rd quadrant)



 

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