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

 This has to do with the shift in the asymptotes between tangent and cotangent and the pattern for cotangent and tangent. Cotangent has asymptotes where sine is equal to zero. So its asymptotes are located at 180 degrees(pi) and 360 degrees(2pi). Tangent has asymptotes where cosine is zero. So its asymptotes are located at 90 degrees(pi/2) and 270 degrees(3pi/2). Now we pay close attention to tangent and cotangent's pattern + - + - dealing with ASTC. Once we draw our asymptotes our pattern guides us to whether our graph should be above or below the x axis. If it is positive, it is above the x axis and if it is negative then it is below the x axis. When we draw our graphs, we will see how the placement of the asymptotes affects the shape of the graph, even though they follow the same pattern of + - + -