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Consider the function f(x) = cot(x)a) Sketch two cycles of y-f(x) from (-2?,2?), labeling the...

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Basic Math

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Consider the function f(x) = cot(x)a) Sketch two cycles of y-f(x) from (-2?,2?), labeling the all the key points.b) What should the domain of f(x) be restricted to make f(x) one-to-one (and pass the HLT)? NOTE: Answers can vary.c) Based on your answer from part (b), sketch the graph of the inverse function of y=cot(x) and give the domain and range of the inverse function.d) Show how to find cot-(-?3) exactly, in exact terms. Include a properly drawn reference angle (as always) for support.

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