`(5 sin^(2) 30^(@) + cos^(2) 45^(@)- 4 tan^(2) 30^(@))/( 2 sin 30^(@) cos 30^(@) + tan 45^(@))` का मान ज्ञात करो ।

Explanation

`(5 sin^(2) 30^(@) + cos^(2) 45^(@)- 4 tan^(2) 30^(@))/( 2 sin 30^(@) cos 30^(@) + tan 45^(@))`
`=( 5 xx (1//2)^(2)+(1//sqrt(2))^(2)-4 xx (1//sqrt(3))^(2))/(2 xx (1)/(2) xx (sqrt(3))/(2)+1)`
` ((5)/(4)+(1)/(2)-(4)/(3))/((sqrt(3))/(2)+1)=((5)/(12))/((sqrt(3)+2)/(2))=(5)/(12)xx(2)/(sqrt(3)+2)=(5)/(6(sqrt(3)+2))=(5)/(6)(2-sqrt(3))`