SOLUTION: For the given value, determine the quadrant(s) in which the terminal side of the angle lies. tan theta = 3.73 I think it is quadrant I & III but i want to be reassured.

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Question 1005783: For the given value, determine the quadrant(s) in which the terminal side of the angle lies. tan theta = 3.73
I think it is quadrant I & III but i want to be reassured.
Found 2 solutions by Theo, rothauserc:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
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:

Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
tan (theta) = 3.73 then
theta = 74.992124779 or 254.992124779 by taking inverse tangent of 3.73
therefore angles are in quadrant I and III
note that x and y are both positive in quadrant I and they are both negative in quadrant III