Find the range of \( f(x)=\cos ^{-1}[x] \) where \( [\cdot] \) denotes the greatest integer func....

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Find the range of \( f(x)=\cos ^{-1}[x] \) where \( [\cdot] \) denotes the greatest integer function
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(1) \( [0, \pi] \)
(2) \( \left[\frac{\pi}{2}, \pi\right] \)
(3) \( \left\{0, \frac{\pi}{2}\right\} \)
(4) \( \left\{0, \frac{\pi}{2}, \pi\right\} \)


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