The graph of tan -1 x is

Question

The graph of tan -1 x is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

tan -1: R arrow((-π/2), (π/2)). Since, the graph of tan -1 x is the mirror image of the graph of tan x along y=x, therefore the graphs of the function y= tan x and y= tan -1 x are given as <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/99467b3b464c42e613d68ae937769a4e-.png" />

Q. The graph of $tan^{- 1} x$ is

$tan^{- 1} : R \to (\frac{- π}{2}, \frac{π}{2})$ . Since, the graph of $tan^{- 1} x$ is the mirror image of the graph of $tan x$ along $y = x$ , therefore the graphs of the function $y = tan x$ and $y = tan^{- 1} x$ are given as

Q. The graph of tan−1x is

tan−1:R→(2−π​,2π​). Since, the graph of tan−1x is the mirror image of the graph of tanx along y=x, therefore the graphs of the function y=tanx and y=tan−1x are given as

Q. The graph of $tan^{- 1} x$ is

$tan^{- 1} : R \to (\frac{- π}{2}, \frac{π}{2})$ . Since, the graph of $tan^{- 1} x$ is the mirror image of the graph of $tan x$ along $y = x$ , therefore the graphs of the function $y = tan x$ and $y = tan^{- 1} x$ are given as