A) \[(-1,\ 1)\]
B) \[[-1,\,\ 1)\]
C) \[\left[ -\frac{\pi }{2},\ \frac{\pi }{2} \right]\]
D) \[[-\sqrt{2},\ \sqrt{2}]\]
Correct Answer: D
Solution :
Since maximum and minimum values of \[\cos x-\sin x\] are \[\sqrt{2}\] and \[-\sqrt{2}\] respectively, therefore range of \[f(x)\] is \[[-\sqrt{2},\,\,\sqrt{2}].\]
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