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[tex]\frac{Cos^2 56^o-cos^2 5^o-cos^2 85^o+Cos^2 34^0}{Sin^2 23^o+sin^2 3^o+sin^2 67^o+sin^2 87^o} + \frac{3tan 78^o} {cotg 12^o}[/tex]


[tex]= \frac{(cos^2 56^o-cos^2 5^o-cos^2 85^o)+Cos^2 34^0}{cos^2 67^o+cos^2 87^o+cos^2 23^ocos^2^o} + \frac{3tan 78^o} {tan 78^o}[/tex]


[tex]= \frac{-cos^2 34^o+cos^2 34^o}{cos^2 67^o+cos^2 87^o+cos^2 23^ocos^2^o} + \frac{3tan 78^o}{tan 78^o}[/tex]


[tex]= \frac{0}{cos^2 67^o+cos^2 87^o+cos^2 23^ocos^2^o} + 3[/tex]


[tex]= 0 + 3 = 3[/tex]
 
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