6
QuizMultiple Choice

Graphing Tangent and Cotangent — Quiz

Question 6 • Precalculus

What is the range of the function y is equal to cotangent of x ?

Answer
A
all real numbers except n pi over 2 , where n is any integer
B
all real numbers except n pi , where n is any integer
C
all real numbers except pi over 2 plus n pi , where n is any integer
D
all real numbers

Explanation

The cotangent function can take every real value. For any real number y, there is an angle x where cot(x) = y, so no real outputs are excluded. The values x = nπ are excluded from the domain, but that does not restrict the range; therefore, the range is all real numbers.

AI-written and checked against the verified answer.

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