If $n$ is any integer, then the general solution of the equation $\cos x - \sin x = \frac{1}{{\sqrt 2 }}$ is
If $n$ is any integer, then the general solution of the equation $\cos x - \sin x = \frac{1}{{\sqrt 2 }}$ is
- A
$x = 2n\pi - \frac{\pi }{{12}}$ or $x = 2n\pi + \frac{{7\pi }}{{12}}$
- B
$x = n\pi \pm \frac{\pi }{{12}}$
- C
$x = 2n\pi + \frac{\pi }{{12}}$ or $x = 2n\pi - \frac{{7\pi }}{{12}}$
- D
$x = n\pi + \frac{\pi }{{12}}$ or $x = n\pi - \frac{{7\pi }}{{12}}$
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