[tex]x+y= \frac{ \pi }{6} = \frac{ 180 }{6} =30[/tex]
[tex]sin30= \frac{1}{2} [/tex]
[tex]E= (sinx-cosy)^{2} +(siny-cosx)^{2}[/tex]
[tex]E=sin^2x+cos^2y-2sinx*cosy+sin^2y+cos^2-2siny*cosx[/tex]
[tex]E=1+1-2(sinx*cosy+cosx*siny)
[/tex]
[tex]E=2-2sin(x+y)[/tex]
[tex]E=2-2 \frac{1}{2} =2-1=1[/tex]
