4. \( \sin(-267^\circ), \cos(\frac{13\pi}{3}), ctg (-682^\circ), tg(-\frac{11\pi}{5}) \)

* \( \sin(-267^\circ) = -\sin 267^\circ = -\sin(270^\circ - 3^\circ) = \cos 3^\circ \) * \( \cos(\frac{13\pi}{3}) = \cos(4\pi + \frac{\pi}{3}) = \cos(\frac{\pi}{3}) \) * \( ctg (-682^\circ) = -ctg 682^\circ = -ctg(360^\circ + 322^\circ) = -ctg 322^\circ = -ctg(360^\circ - 38^\circ) = ctg 38^\circ \) * \( tg(-\frac{11\pi}{5}) = -tg(\frac{11\pi}{5}) = -tg(2\pi + \frac{\pi}{5}) = -tg(\frac{\pi}{5}) \)