Sin6x cosx + cos6x sin = 1/2

Как решить?

Sin (6x + x) = 1/2

sin 7x = 1/2

7x = arcsin1/2 + 2pik

7x = pi/6 + 2pik

x = pi/42 + (2pik) / 7, k ∈Z

7x = pi - arcsin1/2 + 2pik

7x = pi - pi/6 + 2pik

7x = 5pi/6 + 2pik

x = (5pi) / 42 + (2pik) / 7, k ∈Z