Find both solutions between -180 degrees and 180 degrees of the equation tan theta =1/4

Answer 1

The tangent of an angle is positive whenever the x and y values are both positive (plotted on a graph). Thus, the tangent is + in the 1st and 3rd quadrants

arctan (1/4) = 14.04 degrees. Add 180 to get to the 3rd quadrant, giving 194.04 deg.

tan(194.04) = 1/4

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