Question

Which of the following statements are true about the graph of f left parenthesis x right parenthesis equals cotangent x? Select all that apply.

Answer 1

Explanation:

`f(x) = \cot(x)`

Can be written as

`f(x) = ( \cos(x) )/( \sin(x) )`

So let's see these answers.

Part A is wrong, when x=0, the graph is undefined(infinite discontinuity), so (0,0) is not on the graph

B is correct,for every pi radians, the function is undefined for it.

C is incorrect, The function has a zero at pi/2

D is incorrect, the function is defined when cos(x)=0

E is correct, the range of cot(x) is all real numbers.

So B and E are correct.