Find all theta in the interval 0 ≤ theta ≤ 360 for which tan theta = 5 (round to the nearest degree).?
How do you do this problem??
I can only get the 79 degree angle in quadrant 1, but how do you find the quadrant 3 angle?
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Sounds like all you need to do is to get familiar with the unit circle and how to identify sine, cosine, and tangent in it; and maybe also with the graphs of those three trig functions from 0º to 360º.
As you may already know, all three of those functions are periodic;
sin and cos have period 360º;
tan has period 180º.
So add or subtract any multiple of 180º, and the tangent will stay the same.
Picture this: with the unit circle drawn, draw the line y = 5x. Where it crosses the unit circle, represents the angle* whose tangent is 5; there are two such crossings; you can see that the lower one represents an angle that's 180º more than the upper one, which was the one you already have, 79º.
* Drawn from the (+x)-axis counterclockwise to the line