19. \( \sin(-209^\circ), \cos(\frac{12\pi}{5}), ctg (-603^\circ), tg(-\frac{14\pi}{5}) \)

* \( \sin(-209^\circ) = -\sin 209^\circ = -\sin(180^\circ + 29^\circ) = \sin 29^\circ \) * \( \cos(\frac{12\pi}{5}) = \cos(2\pi + \frac{2\pi}{5}) = \cos(\frac{2\pi}{5}) \) * \( ctg (-603^\circ) = -ctg 603^\circ = -ctg(360^\circ + 243^\circ) = -ctg 243^\circ = -ctg(180^\circ + 63^\circ) = -ctg 63^\circ \) * \( tg(-\frac{14\pi}{5}) = -tg(\frac{14\pi}{5}) = -tg(2\pi + \frac{4\pi}{5}) = -tg(\frac{4\pi}{5}) = -tg(\pi - \frac{\pi}{5}) = tg(\frac{\pi}{5}) \)