Consider the function f(x) = cot(x) a) Sketch two cycles of y-f(x) from (-2π,2π), labeling the all the key points. b) What

Question

Consider the function f(x) = cot(x)
a) Sketch two cycles of y-f(x) from (-2π,2π), 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-¹(-√3) exactly, in exact terms. Include a properly drawn reference angle (as always) for support.

Kunduz · Accepted Answer

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