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Calculate : `sec^(2)60^(@)-cot^(2)30^(@)-(2tan30^(@)"cosec"60^(@))/(1+tan^(2)30^(@))`.

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`sec^(2)60^(@)-cot^(2)30^(@)-(2tan30^(@)"cosec"60^(@))/(1+tan^(2)30^(@))`
`=(2)^(2)-(sqrt(3))^(2)-(2xx(1)/(sqrt(3))xx(2)/(sqrt(3)))/(1+((1)/(sqrt(3)))^(2))=4-3=((4)/(3))/(1+(1)/(3))`
`=1-((4)/(3))/((3+1)/(3))=1-((4)/(3))/((4)/(3))=1-1=0`.

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