9sin(2х)−32 2sin(х) =0. 11sin(х)

Решение: 9sin(2x) - 32/2sin(x) = 0. 11sin(x) --> 9*2sin(x)cos(x) - 16sin(x) = 11sin(x) --> 18sin(x)cos(x) - 16sin(x) = 11sin(x) --> sin(x)(18cos(x) - 16) = 11sin(x) --> 18cos(x) - 16 = 11 --> 18cos(x) = 27 --> cos(x) = 27/18 = 3/2. Решения нет.