सत्यापित करो : `2( cos^(4) 60^(@)+sin^(4) 30^(@))-(tan^(2) 60^(@)+ cot^(2)45^(@))+ 3 sec^(@) 30^(@)=(1)/(4)`

Explanation

`2( cos^(4) 60^(@)+sin^(4) 30^(@))-(tan^(2) 60^(@)+ cot^(2)45^(@))+ 3 sec^(@) 30^(@)`
`=2{((1)/(2))^(4) +((1)/(2))^(4)}-{(sqrt(3))^(2) +(1)^(2)}+3((2)/(sqrt(3)))^2`
`=2((1)/(16)+(1)/(16))-(3+1)+3 xx (4)/(3)=2 xx (1)/(8)-4+4=(1)/(4)`