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Range of \( f(x)=\frac{1}{\cos x} \)

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\(f(x) = \frac1{cos \,x}= sec\,x\)

Range of sec x is \((-\infty, -1] \cup [1,\infty)\)

Hence, range of function f(x) = \(\frac1{cos \, x}\) is \((-\infty, -1] \cup [1,\infty)\) or \(R-(-1, 1).\)

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