Question

What is the range of the function y= cot(x)?

A. all real numbers

B. all real numbers except pi/2 + n(pi), where n is any integer

C. all real numbers except n(pi)/2, where n is any integer

D. all real numbers except n(pi), where n is any integer

Answer 1

i believe its A, just all real numbers

Answer 2

all real numbers

Explanation:

Given : y = cot(x)

To Find: Range.

Solution:

Refer the attached graph.

The domain of the function
`y=cot(x)=(cos(x))/(sin(x))` is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n .

The range of the function is all real numbers.

Referring the graph we can say that the range of the given function y = cot(x) is all real numbers .

Hence Option A is correct.