Question #c60c5 Precalculus Functions Defined and Notation Domain 1 Answer Jim H Apr 7, 2017 #{theta|theta != kpi ", for " k " an integer"}# Explanation: 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"}# Answer link Related questions What is the domain of a function? What are common mistakes students make when working with domain? How does the domain of a function relate to its x-values? What is the domain of a linear function? What is the domain of a quadratic function? What is the domain of a function like #f(x) = 5x^2#? What is the domain of #f(x) = {(1, 2), (3, 4), (5, 6), (7, 8), (9, 10), (10, 10)}#? What is the domain of #f(x) = x#? How do I find the domain of the function #f(x) = 2x#? How do I find the domain of the function #f(x)=5x^2+2x-1#? See all questions in Domain Impact of this question 1425 views around the world You can reuse this answer Creative Commons License