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

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

Show that 2(cos^(4)60^(@)+sin^(4)30^(@))-(tan^(2)60^(@)+cot^(2)45^(@))+3sec^(2)30^(@)=1/4

Evaluate: (sin^(4) 60^(@) + sec^(4)30^(@)) - 2(cos^(2)45^(@) - sin^(2) 90^(@))

Calculate : sec^(2)45^(@)-cot^(2)45^(@)-sin^(2)30^(@)-sin^(2)60^(@) .

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^(@))

Evaluate : (i) sin^(2)30^(@)*cos^(2)45^(@)+4tan^(2)30^(@)+(1)/(2)sin^(2)90+(1)/(8)cot^(2)60^(@) (ii) (tan^(2)60^(@)+4sin^(2)45^(@)+3sec^(2)30^(@)+5cos^(2)90^(@))/(cosec30^(@)+sec60^(@)-cot^(2)30^(@))

Calculate : cot^(2)30^(@)-2cos^(2)60^(@)-(3)/(4)sec^(2)45^(@)-4sin^(2)30^(@) .

Evaluate: (sin^(4) 60^(@) + sec^(4) 30^(@)) - 2 (cos^(2) 45^(@) - sin^(2) 90^(@))