Mark M. answered 08/18/15
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Retired math prof. Very extensive Precalculus tutoring experience.
3cotx - 1 = 0
cotx = 1/3 So, tanx = 3. Since tanx is positive, x lies in either quadrant 1 or quadrant 3.
x = tan-1(3) = 1.249 gives the solution in quadrant 1 and 1.249 + π gives the third quadrant value.