2 sin (п/6 - x) - корень из 2=0

2 sin (pi/6 - x) - √2=0

sin (pi/6 - x) = √2/2

pi/6 - x=pi/4+2pik (1)

pi/6 - x=3pi/4+2pik (2)

(1)

pi/6 - x=pi/4+2pik

-x=pi/4-pi/6+2pik

x=pi/6-pi/4-2pik

x = - pi/12-2pik, k∈Z

(2)

pi/6 - x=3pi/4+2pik

x-pi/6=-3pi/4-2pik

x=pi/6-3pi/4-2pik

x = - 7pi/12-2pik, k∈Z