Book: RS Aggarwal - Mathematics
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 53 of Objective Questions
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53
Mark the tick against the correct answer in the following:
Range of tan-1 x is
To Find: The range of tan-1 x
Here,the inverse function is given by y = 
The graph of the function y = 
can be obtained from the graph of
Y = tan x by interchanging x and y axes.i.e, if (a,b) is a point on Y = tan x then (b,a) is the point on the function y = 
Below is the Graph of the range of 
From the graph, it is clear that the range of 
is restricted to any of the intervals like [
] , [
] , [
] and so on. Hence the range is given by
(
).
