The general solution of the trigonometric equation $(\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \cos \theta=2$ is

The general solution of the trigonometric equation $(\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \cos \theta=2$ is
  1. $2 n \pi \pm \frac{\pi}{4}+\frac{\pi}{12}$
  2. $n \pi+(-1)^n \frac{\pi}{4}+\frac{\pi}{12}$
  3. $2 n \pi \pm \frac{\pi}{4}-\frac{\pi}{12}$
  4. $n \pi+(-1)^n \frac{\pi}{4}-\frac{\pi}{12}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 2)

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