Why is a “normal” tangent graph uphill, but a “normal” tangent graph downhill? Use unit circle ratios to explain.
To start off, tangent and cotangent graphs have asymptotes. The graph cannot touch the asymptotes. To have asymptotes sin has to be 0 so that it is undefined and cosine has to eqaul 0 so that tangent is undefined. In the examples shown below the period must occur between then asymptotes and CAN'T TOUCH IT. Beacuse the asymptotes are in different marks, tangent being at 90 and 270 and cotangent being at 180 and 360, in order for the graph to not touch the asymptote, tangent must go up and cotangent must go down.
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