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If f(x)=sin^(-1)(cosec(sin^(-1)x))+cos^(...

If `f(x)=sin^(-1)(cosec(sin^(-1)x))+cos^(-1)(sec(cos^(-1)x))`, then f(x) takes

A

exactly two values

B

one value

C

undefined

D

infinite values

Text Solution

Verified by Experts

The correct Answer is:
B
Clearly f(x) is defined only for `x = pm 1`
and `f(1)=f(-1)=(pi)/(2)`
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