$ A_1 ^2 = A_1^2 + A_2^2 +2A_1A_2\cos \varphi2 $ <=> $ A_1 = -2A_2\cos \varphi2 $ $ \tan \varphi ={\dfrac{A_2\sin \varphi2}{A_1 + A_2\cos \varphi2}} = -{\dfrac{A_2\sin \varphi2}{A_2\cos \varphi2}} = -\tan \varphi2 = -\tan \left(\varphi + \pi /6 \right) $ -> $ \varphi = -\pi/12 $, $ \varphi2 = \pi/12 $ -> $ \varphi / \varphi 2 = -1 $