How do you find the domain & range for $cot theta$ ?

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Answer 1 · 2018-06-02T04:42:43

Below

First, draw the graph $cot theta$

graph{1/tanx [-10, 10, -5, 5]}

From the graph, you will notice that there are asymptotes occurring when $theta = 0, pi, 2pi, ....$

Therefore,
Domain: all reals except when $theta = +-npi$ where n is for all integers
Range: all reals y

How do you find the domain & range for cot thetacot theta?