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

The domain of y=cot x is:

Option: b

b. (0,π)

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=(\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)