Q. 545.0( 1 Vote )

Mark the tick against the correct answer in the following:

Range of sec-1 x is

A.

B. [0, π]

C.

D. None of these

Answer :

To Find:The range of


Here,the inverse function is given by y =


The graph of the function y = can be obtained from the graph of


Y = sec x by interchanging x and y axes.i.e, if (a,b) is a point on Y = sec 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 interval


[0,] – {}

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