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Sunday, April 20, 2014

BQ #4: Unit t Concept 3

1-Why is a "normal" tangent graph uphill, but a "normal cotangent graph downhill? Use the Unit Circle Ratios to explain.
The reason why is because there is a difference in the asymptotes. The asymptotes are shifted in different places because of the fact that tangent and cotangent are reciprocals, for example tan=y/x therefore making the focus be on "x" because when finding the asymptote "x" must equal zero and so the only areas that are equal to zero is at 90 and 270 degrees. While for cotangent, cot=x/y so the "y" id now the one that has to be equal to zero and that is at 0, 180, and 360 degrees, with that there is a shift from where the asymptotes will be at. Making tangent go uphill and cotangent go downhill. If you are still confused look at the picture at the bottom.

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