Question

# Which among the following represents the graph of y=sec−1(x)

A
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B
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C
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D
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Solution

## The correct option is D The question in hand is to find the graph sec−1(x) First of all keep in mind the domain and range of the function sec−1(x). Its domain is R-(-1,1) and range [0,π]−{π2} since secθ is not defined at the point x=π2. There is only one curve which satisfies this domain and range which is option (d). Note the endpoints of the curve (-1, π) and (1, 0). Also try to identify which functions are related to other options. Option (a) has the graph of y=sin−1(x) Option (b) has y=tan−1(x) Option (c) has y=cosec−1(x)

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