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$f (x) = S c e^{- 1} [1 + C o s^{2} x]$ where $[.]$ is g.i.f. Then range of $f (x) =$

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Correct option is D

We know that 0≤cos2x≤1.⇒1≤1+cos2x≤2So 1+cos2x= either 1 or 2⇒Sec−11+cos2x=Sec-11 or Sec-12 =0 orπ3 ∴range of fx=0,π3

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fx=Sce−11+Cos2x where. is g.i.f. Then range of fx=

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$f (x) = S c e^{- 1} [1 + C o s^{2} x]$ where $[.]$ is g.i.f. Then range of $f (x) =$