Как решить 3sin^2 (x/2) + sin (x/2) * sin (pi/2-x/2) = 2

3sin² (x/2) + sin (x/2) * cos (x/2) - 2sin² (x/2) - 2cos² (x/2) = 0

sin² (x/2) + sin (x/2) cos (x/2) - 2cos² (x/2) = 0 (/cos²x/2≠0

(sin (x/2) / cos (x/2)) ²+sin (x/2) / cos (x/2) - 2=0

tg²x/2+tgx/2-2=0

tgx/2=t

t²+t-2=0

t=1 t=-2

tgx/2=1 tgx/2=-2

x/2=π/4+πn x/2=-arctg2+πn

x=π/2+2πn x=-2arctg2+2πn