BQ #4: Unit T Concept 3

Why is a "normal" tangent graph uphill, but a "normal" cotangent graph downhill?

          The normal tangent graph is uphill mainly because of the asymptotes. One of the reasons why its uphill is because of the asymptotes which are located at pi/2 and 3pi/2 (keep in mind they go on forever). If we recall from the unit circle the first quadrant was positive, the second negative, the third positive, and the fourth negative. So if we draw our asymptotes our graph has to be in between those asymptotes so that means where in the third and second quadrant. As mentioned above the third quadrant is positive and the second one is negative. So that means our graph has to be below the x-axis and then above the x-axis.

                       The normal cotangent graph is downhill because of its asymptotes.  The asymptotes for the normal cotangent graph are pi and 0. The labeling of the quadrants is the same. So it would be above the x- axis and then below as seen below.