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Q.

Range of the function $f (x) = \cos^{- 1} (- {x})$ where ${.}$ is fractional part function

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a

$(\frac{π}{2}, π]$

b

$(0, \frac{π}{2}]$

c

$[\frac{π}{2}, π)$

d

$(\frac{π}{2}, π)$

answer is A.

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Detailed Solution

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${x} \in (- 1, 0]$

$\cos^{- 1} (- {x}) \in [\frac{π}{2}, π)$

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