Let P(x)=\cos ^2 x+ \sin ^4 x, for any x \in \mathbb{R}. Then which of the following options is correct for all x ?

Correct Answer is : 34≤P(x)≤1

\frac{1}{6} \leq P(x) \leq \frac{3}{4}

\frac{1}{2} \leq P(x) \leq \frac{3}{2}

KEAM 2023 Math Solved Paper

Question : 50 of 120

Marks: +1, -0

Let P(x)=cos2x+sin‌4x, for any x∈ℝ. Then which of the following options is correct for all x ?

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