Вычисли

а) \(\sqrt{3} \sin 60^\degree + \cos 60^\degree \sin 30^\degree - \tg 45^\degree \ctg 135^\degree + \ctg 90^\degree = \) [ ];

б) \(\cos \cfrac{\pi}{6} - \sqrt{2} \sin \cfrac{\pi}{4} + \sqrt{3} \tg \cfrac{\pi}{3}= \) [ ].