Range of \( f(x)=\sin ^{-1}[x-1]+2 \cos ^{-1}[x-2] \) ([.] denotes ...
Range of \( f(x)=\sin ^{-1}[x-1]+2 \cos ^{-1}[x-2] \) ([.] denotes greatest integer function)
\( \mathrm{P} \)
(a) \( \left\{-\frac{\pi}{2}, 0\right\} \)
(b) \( \left\{\frac{\pi}{2}, 2 \pi\right\} \)
(c) \( \left\{\frac{\pi}{4}, \frac{\pi}{2}\right\} \)
(d) \( \left\{\frac{3 \pi}{2}, 2 \pi\right\} \)
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