1.

The function \[\sin x-\cos x\]is increasing in the interval

A.            \[\left[ \frac{3\pi }{4},\frac{7\pi }{4} \right]\]
B.            \[\left[ 0,\frac{3\pi }{4} \right)\]
C.            \[\left[ \frac{\pi }{4},\frac{3\pi }{4} \right]\]
D.            None of these
Answer» C.            \[\left[ \frac{\pi }{4},\frac{3\pi }{4} \right]\]


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