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Find all values of thetaθ​, if thetaθ is in the interval ​[0degrees°​, 360degrees°​) and has the given function value cot thetaθ=1

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In the first quadrant, 0-90 degrees, the angle whose cotangent is is 45 degrees. The only other quadrant where cot theta is 1 is 3rd quadrant.

The 2 angles are 45 and 180+45 = 225 degrees

Answer 45 , 225 degrees.
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