Question

3ctg^2 (3pi/2+x/3)-2tg x/3=1

Answer 1

3tg^2(x/3)-2tgx/3-1=0
tgx/3=t
3t^2-2t-1=0
t=1/3(1+-2)
t1=-1/3
t2=1
tgx/3=1  x=3П/4+3пk
tgx=-1/3 x=3arctg(-1/3)+3Пk