1. A "normal" tangent graph is uphill because of its asymptotes and the unit circle ratios. The unit circle ratio for tangent is equal to y/x, which means that x has to equal zero in the unit circle. X is also equal to cosine, so that means that cosine has to equal zero. The graphs have to be in between the asymptotes, which for the tangent graph is below the x-axis and then above. So it goes from down to up, which creates a uphill tangent graph.
2. A cotangent graph is downhill because the asymptotes are located at different places than a normal tangent graph. The boundaries are in different places. The ratio for cotangent is x/y/, in which y equals zero. Sine equals zero which puts the boundaries and the graph in different places. The graph has to get close to the asymptote above the x-axis, and close to the asymptote down it.
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