# The set of solution of the equation $(\sqrt 3-1) \sin \theta+(\sqrt 3+1) \cos \theta=2$ is :

$\begin {array} {1 1} (1)\;\{2n\pi \pm \frac{\pi}{4}+\frac{\pi}{12}:n \in Z\} & \quad (2)\;\{2n\pi \pm \frac{\pi}{4}-\frac{\pi}{12}:n \in Z\} \\ (3)\;\{n\pi + (-1)^n \frac{\pi}{4}+\frac{\pi}{12}:n \in Z\} & \quad (4)\;\{n\pi + (-1)^n \frac{\pi}{4}-\frac{\pi}{12}:n \in Z\} \end {array}$

$(1)\;\{2n\pi \pm \frac{\pi}{4}+\frac{\pi}{12}:n \in Z\}$