Решите систему:
X+У=pi/3
sinx*siny=1/4

X+У=π/3,  y= π/3 -xsinx·siny=1/4sinx·sin( π/3-x)=0,5cos(x-( π/3-x)--cos(x+ π/3-x)=1/4 0,5(cos(2x-( π/3)-cos( π/3) )=1/40,5 cos(2x-( π/3) -0,25=0,25, 0,5 cos(2x-( π/3)=0,5,  cos(2x-( π/3)=12x- π/3 = 2πn,2x=2πn+  π/3 ,x=  πn  +  π/6,y=   π/3- πn - π/6= π/6  - πn Ответ(  πn  +  π/6 ; π/6 - πn),где  n  целое число.