Q.

The range of  f(x)=sin−1x+tan−1x+sec−1x is

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a

π4,3π4

b

π4,3π4

c

π4,3π4

d

None of these

answer is C.

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Detailed Solution

f(x)=sin−1x+tan−1x+sec−1x; clearly, the domain of f(x) is x=±1.  Thus the range is                 f(1),f(−1)=π4,3π4.
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