Question 1005783
tangent is positive in quadrants 1 and 3 so you're correct.
it can't be 2 and 4 because tangent is negative in those quadrants.
the angle in the first quadrant is 74.99212478.
the equivalent angle in the third quadrant is 254.9921248
if you found the equivalent angle in the second and fourth quadrant, it would be:
second quadrant = 105.0078752
fourth quadrant = 285.0078752
if you used your calculator to find the tangent function of all 4 of these angles, you would find:
tan(74.99...) = 3.73
tan(105.00...) = =-3.73
tan(254.99...) = 3.73
tan(285.00...) = -3.73
if you graph tan(x), you will see that the intersection of that grpah and the line of y = 3.73 is at x = 74.99.. and 254.99...
the graph is shown below:
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