Question

What is the domain of y = cot x?
a. (- ∞ ,∞ )
b.(0,π)
c.all x≠ π/2+π
d.all x≠ π
e.all x≠ π/2

Answer 1

c had the same ? then got it right

Answer 2

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)