3cos²x - 5cosx - 8 = 0cosx = t, -1≤x≤13t² - 5t - 8 = 0 t = -1 , t = 8/3>1cosx = -1x = π + 2πk; k - целое10sin²x - sin2x = 8cos²x10sin²x - 2sinx·cosx - 8 + 8sin²x =018sin²x - 2sinx·cosx - 8sin²x - 8cos²x = 010sin²x - 2sinx·cosx - 8cos²x = 0 однородное уравнение 2 степени, делим обе части на cos²x10tg²x - 2tgx - 8 = 0tgx = 1 tgx = - 4/5x =π/4 + πk x = - arctg4/5 + πk7 = 7sin2x - 9cos2x7sin²x + 7cos²x = 14sinx·cosx - 9cos²x + 9sin²x2sin²x - 16cos²x +14sinx·cosx =02tg²x +14tgx - 16 =0tgx = 1 tgx = - 8x = π/4 +πk x= - arctg8 + πk