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$For any real θ the max value of \cos^{2} (\cos θ) + \sin^{2} (\sin θ) =$

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1+sin21

1+cos21

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Correct option is A

Let f(θ)=cos2(cosθ)+sin2(sinθ)We have -1≤cosθ≤1 and -1≤sinθ≤1∴ cos21≤cos2(cosθ)≤1 and 0≤sin2(sinθ)≤sin21 Max value of f(θ)=1+sin21

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For any real θ the max value of cos2(cosθ)+sin2(sinθ)=

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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$For any real θ the max value of \cos^{2} (\cos θ) + \sin^{2} (\sin θ) =$