(9)/(sin^(2)60^(@))+(3)/(cos^(2)60^(@))

(4(sin^(2)60^(@)+cos^(2)60^(@)))/(tan^(2)45^(@)-cos^(2)90^(@)+sin90^(@))

Evaluate : 4(sin^(4)30^(0)+cos^(4)60^(@))-(2)/(3)(sin^(2)60^(@)-cos^(2)45^(@))+(1)/(2)tan^(2)60^(@)

Prove that : (4)/(3) tan ^(2) 30^(@) + sin ^(2) 60^(@) - 3 cos ^(2) 60^(@) + (3)/(4) tan^(2) 60^(@) - 2 tan^(2) 45^(@) = (25)/(36)

Evaluate: sin^(2)60^(@) cos^(2)45^(@) cos^(2)60^(@)" cosec"^(2)90^(@)

Evaluate : ( 2 ( sin^2( 60^(@ )) + cos^2( 60^(@ )))) / ( tan^2( 45^(@ )) - cos^2( 90^(@ )) + sin( 90^(@ ))

Evaluate : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos30^(@)+(1)/(2)tan60^(@))

Evaluate : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos30^(@)+(1)/(2)tan60^(@))

sin30 ^ (@) sin ^ (2) (60) ^ (@) + 3cos60 ^ (@) tan45 ^ (@) =

((cos30^(@)+sin60^(@))/(1+cos60^(@)+sin30^(@)))=(sqrt(3))/(2)

Find the value of the following: (i) "sin"^(2)30^(@)+"sin"^(2)45^(@)+"sin"^(2)60^(@)+"sin"^(2)90^(@) (ii) 2"sin"^(2)30^(@)-3cos^(2)45^(@)+cos^(2)60^(@)