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Answer 1 · 2017-04-07T14:52:48

#{theta|theta != kpi ", for " k " an integer"}#

Note that

#cot theta = cos theta/sin theta# and

#csc theta = 1/sin theta#.

Therefore, #theta# cannot have any value that makes #sin theta = 0#.

So #theta# cannot be an integer multiple of #pi#

#theta# can have any other value

So the domain is #{theta|theta != kpi ", for " k " an integer"}#