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The function $f : R \to R$ is defined by $f (x) = \cos^{2} x + \sin^{4} x$ or $x \in R$ Then the range of $f (x)$ is

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Correct option is C

y=fx=cos2x+sin4x =cos2x+sin2x1-cos2x =cos2x+sin2x-sin2xcos2x =1-sin2xcos2x =1-14sin22x∴ 34≤fx≤1 0≤sin22x≤1∴fx∈3/4,1

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The function f:R→R is defined by fx=cos2x+sin4x or x∈R Then the range of fx is

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The function $f : R \to R$ is defined by $f (x) = \cos^{2} x + \sin^{4} x$ or $x \in R$ Then the range of $f (x)$ is