Let f(x)=sec−11+cos2x where denotes the greatest integer function I : Domain of f(x) is RII. Range of f(x) is sec−11,sec−12

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only I is true

only II is true

both I and II are true

neither I nor II are true

answer is C.

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Detailed Solution

0≤cos2x≤1,∀x∈R⇒1≤1+cos2x≤2,⇒1+cos2x=1 or 2∴ Range=sec−11,sec−12

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