The maximum value of $\sin x+\cos x$ i

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The maximum value of $\sin x+\cos x$ is

Options:

$2$

$1$

$\sqrt{2}$

$0$

Correct Answer:

$\sqrt{2}$

Explanation:

$-\sqrt{a^{2}+b^{2}}\leq a\sin x+b \cos x\leq \sqrt{a^{2}+b^{2}}$