Why is a "normal" tangent graph uphill, but a "normal" cotangent graph downhill?
The difference between these two graphs is their asymptotes, when you plot the sine graphs you locate the asymptotes by looking where the graph touches the x-axis. When you do locate the asymptotes then you will see that for tangent and cotangent they are different. One will start positive and end negative whereas the other will start negative and end positive. We know that the order of the quadrants go positive,negative,postive,negative and when you find the asymptotes both graphs will be different because they either shift right or left which changes how they are placed and drawn on the graph.
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