10sin2x + 11sinx - 8 = 0

10*2sin x*cos x + 11sin x - 8 = 020 sin x*cos x + 11sin x - 8 = 011 sin x (9sin x*cos x + 1) - 8 = 0 (11 sin x - 8)(9sin x*cos x + 1) = 011 sin x - 8 = 011 sin x  = 8sin x = 8/11x = arcsin 8/11 + 2*пи*kиx = -arcsin 8/11 + 2*пи*kили9sin x*cos x + 1=09sin x*cos x = -1sin x = -1x = -пи/2 + 2*пи*kилиcos x = -1x=пи + 2*пи*kответ: arcsin 8/11 + 2*пи*k ; -arcsin 8/11 + 2*пи*k ; -пи/2 + 2*пи*k ; пи + 2*пи*k