SOLUTION: Hi if csc theta < 0 and tan theta = (-4/5) , in which quadrant does theta terminate?

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Question 871883: Hi
if csc theta < 0 and tan theta = (-4/5) , in which quadrant does theta terminate?
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if csc theta < 0 and tan theta = (-4/5) , in which quadrant does theta terminate?----
csc has the same sign as sin which is negative in QIII and QIV
tan = y/x, so is negative in QII and QIV where x and y have opposite signs.
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Therefore theta is in QIV.
Cheers,
Stan H.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
The cosecant is negative in the 3rd and 4th.
The tangent is negative in the 2nd and 4th.

So theta must terminate in the quadrant where
both the cosecant and the tangent are negative, 
so it has to terminate in the 4th.

Edwin