Question: (a) (b) (c) (d) [3 pts.] Consider the function f(x) = cot(x) Sketch two cycles of y-f(x) from (-2,2), labeling the all the key

(a) (b) (c) (d) [3 pts.] Consider the function f(x) = cot(x)

(a) (b) (c) (d) [3 pts.] Consider the function f(x) = cot(x) Sketch two cycles of y-f(x) from (-2,2), labeling the all the key points. What should the domain of f(x) be restricted to make f(x) one-to-one (and pass the HLT)? NOTE: Answers can vary. 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. Show how to find cot-1(-3) exactly, in exact terms. Include a properly drawn reference angle (as always) for support.

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