Question

The domain of tan⁻¹ is.........,Select Proper option from the given options.
(a) (-π,π)
(d) R
(c) (0,π)
(d) (- π/2,π/2)

Answer 1

Option D is correct.

[ -π/2 , π/2 ]

●●●●●●●●●●●●●●●●●●●●●

Hope it was helpful.

Answer 2

Answer:

(b) R.

Step-by-step explanation:

We have to find the domain of definition of the function f(x) = tan⁻¹ x.

Therefore, we have to find the values of x for which function f(x) is defined.

Now, let us rearrange the equation to make it easier to find the values of x.

Hence, x = tan f(x).

We know that for any values of f(x), the function tan f(x) will be between -∞ to ∞, i.e. any real value.

Hence, R is the domain of definition of the given function. (Answer)