Question

Find the principal value of `tan^-1 (sqrt(3))`

विकल्प

• `- pi`

• `- pi/2`

• `- pi/3`

• `- pi/4`

Answer 1

`- pi/3`

Explanation:

Let `tan^-1 (sqrt(3))` = y

⇒ `tan y = - sqrt(3) - tan  x/3 = tan  (- pi/3)`

Range of the principal value of tan^–1x is

`(- pi/2, pi/2)` and `tan (- pi/3)` is `- sqrt(3)`

Thus, know that.the principal value of `tan^-1(-sqrt(3))` is `- pi/3`.