14. \( \sin(-289^\circ), \cos(\frac{16\pi}{5}), tg(-506^\circ), ctg(\frac{12\pi}{5}) \)

* \( \sin(-289^\circ) = -\sin 289^\circ = -\sin(270^\circ + 19^\circ) = \cos 19^\circ \) * \( \cos(\frac{16\pi}{5}) = \cos(3\pi + \frac{\pi}{5}) = -\cos(\frac{\pi}{5}) \) * \( tg(-506^\circ) = -tg 506^\circ = -tg(360^\circ + 146^\circ) = -tg 146^\circ = -tg(180^\circ - 34^\circ) = tg 34^\circ \) * \( ctg(\frac{12\pi}{5}) = ctg(2\pi + \frac{2\pi}{5}) = ctg(\frac{2\pi}{5}) \)