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$The range of f (x) = \sin^{2} x - \sin x + 1 i s$

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Correct option is A

f(x)=sin2⁡x−sin⁡x+1=sin⁡x−122+34 Now, −1≤sin⁡x≤1 or −32≤sin⁡x−12≤12 or 0≤sin⁡x−122≤94 or 34≤sin⁡x−122+34≤3 Hence, the range is 34,3 .

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The range of f(x)=sin2⁡x−sin⁡x+1 is

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$The range of f (x) = \sin^{2} x - \sin x + 1 i s$