Finding reference angles, etc.

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Does anyone know how to do this? I can only get as far as figuring out that theta is in quadrants I or III


Determine the 2 possible values for the angle theta, if theta is in interval (0, 360)* and has the given trig. function value of cotangent theta = 19.081137. State the quadrants theta is in, the reference angle, as well as both values of theta. Round to the nearest hundredth of a degree.

If anyone can explain to me how to figure out the degrees of cotangent of theta, I will probably be able to figure it out. Thanks!
 
It looks like a calculator problem to me. I suspect you don't have a "cotangent" button on your calculator. Recall that cotangent = 1/tangent.
 
I did that, but that angle seems a little bit small to me for what I have to do for this problem. It's only 2.891. Would that be right ? If so, then how do you figure the rest of the problem out ?
 
you are close ...

tan<sup>-1</sup>(1/19.081137) = 2.99999995099...
in fact, I'd just call it 3 degrees.

don't forget the angle in quad III.
 
In quadrant 1, I got it to be 2.999
and in quadrant III, it turned out to be 182.999

but does anyone know how to find the reference angle of it?
 
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