The solution of the system of equations `sinxsiny=(sqrt(3))/4,cosxcosy=(sqrt(3))/4` are `x_1=pi/3+pi/2(2n+k); n , k in I` `y_1=pi/6+pi/2(k-2n); n , k in I` `x_2=pi/6+pi/2(2n+k); n , k in I` `y_2=pi/3+pi/2(k-2n); n , k in I`

Explanation

`sinx*siny=sqrt3/4`

`cosx*cosy+sinxsiny=sqrt3/2`

`cos(x-y)=sqrt3/2`

`x-y=2npipmpi/6`

`cosxcosy=sqrt3/4`

`cosxcosy-sinxsiny=0`

`cos(x+y)=0`

`x+y=(2n+1)pi/2`

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