SOLUTION: Hi, please help me solve this problem: There aret wo angles Theta between 0 degrees and 360 degrees for which cot theta = -0.3156. Find these two angles. Thank you!

Question 401682: Hi, please help me solve this problem:
There aret wo angles Theta between 0 degrees and 360 degrees for which cot theta = -0.3156. Find these two angles.
Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are wo angles Theta between 0 degrees and 360 degrees for which
cot(theta) = -0.3156. Find these two angles.
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cot is negative in the 2nd and 4th quadrants.
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The reference angle for cot = 0.3156 is tan^-1(1/0.3156) = 72.48 degrees
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In the 2nd quadrant theta = 180-72.48 = 107.52 degrees
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In the 4th quadrant taeta = 360-72.48 = 287.52 degrees
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Cheers,
Stan H.
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