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The greatest among $(\sin 1 + \cos 1), (\sqrt{\sin 1} + \sqrt{\cos 1}), (\sin 1 - \cos 1)$ and 1 is

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sin1+cos1

sin1−cos1

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Correct option is A

We have0sin1>sin21;cos1>cos1>cos21 Adding sin1+cos1>sin1+cos1 >sin21+cos21 ⇒sin1+cos1>sin1+cos1>1

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The greatest among sin1+cos1,sin1+cos1,sin1−cos1and 1 is

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The greatest among $(\sin 1 + \cos 1), (\sqrt{\sin 1} + \sqrt{\cos 1}), (\sin 1 - \cos 1)$ and 1 is