MCQ
The range of $f(x) = \cos x - \sin x$ is
- A$( - 1,\;1)$
- B$[ - 1,\,\;1)$
- C$\left[ { - \frac{\pi }{2},\;\frac{\pi }{2}} \right]$
- ✓$[ - \sqrt 2 ,\;\sqrt 2 ]$
✓
Answer
Correct option: D.
$[ - \sqrt 2 ,\;\sqrt 2 ]$
d
(d) Since maximum and minimum values of $\cos x - \sin x$ are $\sqrt 2 $ and $ - \sqrt 2 $ respectively,
(d) 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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