Find the maximum value of $y = sin x + cos x$ .

\sqrt{2} .

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2

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1

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\sqrt{3}

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Solution

The correct option is A $\sqrt{2} .$
$y = sin x + cos x = \sqrt{2} sin (\frac{π}{4} + x)$
Therefore, max value of $y$ is $\sqrt{2}$
Ans: A

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