Question:medium

\(f(x) = \frac{1}{7 - \cos x},\ x \in \mathbb{R}\). Then the range of \(f\) is

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For \(\frac{1}{a - \cos x}\) with \(a$>$1\), range is \(\left[\frac{1}{a+1}, \frac{1}{a-1}\right]\).
Updated On: Apr 25, 2026
  • \((-8, -7)\)
  • \([-7, -4]\)
  • \(\left(1, \frac{5}{4}\right)\)
  • \(\left(\frac{5}{7}, 1\right)\)
  • \(\left[\frac{1}{8}, \frac{1}{6}\right]\)
Show Solution

The Correct Option is

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