Question

обчислити значеня виразів

Answer 1

$tg\frac{20\pi }{3}=tg(7\pi -\frac{\pi }{3})=-tg\frac{\pi }{3}=-\sqrt3\\\\tg\frac{28\pi}{3}=tg(9\pi +\frac{\pi}{3})=tg\frac{\pi}{3}=\sqrt3\\\\tg(-\frac{31\pi }{6})=tg(-5\pi -\frac{\pi}{6})=tg(-\frac{\pi}{6})=-tg\frac{\pi}{6}=-\frac{\sqrt3}{3}\\\\tg\frac{16\pi}{3}=tg(5\pi +\frac{\pi}{3})=tg\frac{\pi}{3}=\sqrt3$