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UPSC NDA II 2024 Mathematics Paper

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Question Numbers: 85-86

Direction : Consider the following for the items that follow :

Let f(x) = cos2x + x on [-π/2, π/2].

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Question : 86 of 120

Marks: +1, -0

What is the least value of f(x)?

$-\left(1 + \frac{\pi}{2}\right)$
$-\left(\frac{1}{2} + \frac{\pi}{2}\right)$
$-\left(1 + \frac{\pi}{4}\right)$
$-2\left(\frac{1}{2} - \frac{\pi}{4}\right)$

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