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^(@)

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

Find the value of cosec^(2)30^(@)sin^(2)45^(@)-sec^(2)60^(@)

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^(@))

Find the value of sin^(2)45^(@)-"cosec"^(2)60^(@)+sec^(2)30^(@) .

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

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

Evaluate each of the following :- (cosec^(2)45^(@)sec^(2)30^(@))(sin^(2)30^(@)+4cot^(2)45^(@)-sec^(2)60^(@))

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

Prove that : (i) ((tan 60^(@)+1)/(tan 60^(@) - 1))^(2) = (1 + cos 30^(@))/(1 - cos 30^(@)) (ii) 3 "cosec"^(2) 60^(@) - 2 cot^(2) 30^(@) + sec^(2) 45^(@) = 0