The range of \( f(x)=\sec ^{-1}\left(\log _{3} \cot x+\log _{\cot x} 3\right) \) is
(a) \( \left...
The range of \( f(x)=\sec ^{-1}\left(\log _{3} \cot x+\log _{\cot x} 3\right) \) is
(a) \( \left[\frac{\pi}{3}, \frac{\pi}{2}\right) \cup\left(\frac{\pi}{2}, \frac{2 \pi}{3}\right] \)
(b) \( \left[0, \frac{\pi}{2}\right) \)
(c) \( \left(\frac{2 \pi}{3}, \pi\right] \)
(d) None of these
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