Verified Answer :

c had the same ? then got it right

Answer:

The domain of y=cot x is:

               Option: b

                b.     (0,π)

Step-by-step explanation:

We know that a domain of a function is the set of all the possible x values for which the function is well defined.

We are given a function as:

          \(y=\cot x\)

which is further defined as:

\(y=\dfrac{\cos x}{\sin x}\)

Hence, the function is well defined when the denominator term is non-zero.

We know that the denominator term i.e. the sine function is zero at the points:

\(x=0,\pi,2\pi,3\pi,.....\)

Hence, the best possible option is:

           b.   (0,π)

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