If p=\sin ^{2} \\theta+\cos ^{4} \\theta for 0 \\leq \\theta \leq \frac{\\pi}{2} then consider the following statements: I. {P} can be less than \frac{3}{4}. II. P can be more than 1 . Which of the above statements is/are correct?

UPSC CDS 1 2021 Math Paper

Question : 8 of 100

Marks: +1, -0

If p=sin2θ+cos4θ for 0≤θ ≤

then consider the following statements:
I. P can be less than

.
II. P can be more than 1 .
Which of the above statements is/are correct?

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