3sin² x\2 + sin x\2 × sin(пи\2 - x\2)=2

3sin²x/2+sinx/2*cosx/2-2sin²x/2-2cos²x/2=0/cos²x/2≠0
tg²x/2+tgx/2-2=0
tgx/2=a
a²+a-2=0
a1+a2=-1 U a1*a2=-2
a1=-2⇒tgx/2=-2⇒x/2=-arctg2+πn⇒x=-2arctg2+2πn
a2=1⇒tgx/2=1⇒x/2=π/4+πn⇒x=π/2+2πn