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Question

Question: Maximum value of \(\sin x - \cos x\) is equal to...

Maximum value of sinxcosx\sin x - \cos x is equal to

A

2\sqrt{2}

B

1

C

0

D

None of these

Answer

2\sqrt{2}

Explanation

Solution

Maximum value of (sinxcosx)(\sin x - \cos x) is 12+12- \sqrt{1^{2} + 1^{2}}i.e., –2\sqrt{2}.