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

Calculate : (4)/(3)cot^(2)30^(@)+3 sin^(2) 60^(@)-2 "cosec"^(2)60^(@)-(3)/(4) tan^(2)30^(@) .

Find the value of, (4)/(3)cot^(2)30^(@)+3sin^(2)60^(@)-2" cosec"^(2)60^(@)-(3)/(4)tan^(2)30^(@) :

Calculate : sin^(2)45^(@)-"cosec"^(2)60^(@)+sec^(2)30^(@) .

Evaluate: "cosec"^(2)30^(@)+sec^(2)60^(@)+tan^(2)30^(@) .

Evaluate : 3 cos^(2)60^(@)sec^(2)30^(@)-2 sin^(2)30^(@)tan^(2)60^(@)

Evaluate : (i) sin60^(@)*cos30^(@)-cos60^(@)*sin30^(@) (ii) tan30^(@)*cosec60^(@)+tan60^(@)*sec30^(@) .

Find the value of : cosec^(2)60^(@)-tan^(2)30^(@)

Find the value of : cosec^(2)60^(@)-tan^(2)30^(@)

Find the value of following expressions : (i) sec^(2)60^(@)cos^(2)45^(@)-cosec^(2)30^(@) (ii) (tan45^(@)cot^(2)60^(@)+tan^(2)30^(@)cot45^(@))/(sin30^(@)+cos60^(@))

Calculate : (tan60^(@)-tan30^(@))/(1+tan60^(@) tan30^(@))+cos60^(@) cos30^(@)+sin60^(@) sin 30^(@) .