[tan^(-4)3^(@)+sec^(-6)60^(@)-cot^(-2)30^(@)+cosec^(2)30^(@)],[4,1]

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

Calculate : (1-sin^(2)30^(@))/(1+sin^(2)30^(@))xx(cos^(2)60^(@)+cos^(2)30^(@))/("cosec"^(2)90^(@)-cot^(2)90^(@)) divide (sin60^(@) tan30^(@))

If (x-xtan^(2)30^(@))/(1+tan^(2)30^(@))=sin^(2)30^(@)+4cot^(2)45^(@)-sec^(2)60^(@) , then the value of x is :

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

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

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^(@))

Evaluate each of the following :- (tan^(2)60^(@)+4cos^(2)45^(@)+3sec^(2)30^(@)+5cos^(2)90^(@))/(cosec30^(@)+sec60^(@)-cot^(2)30^(@))

((tan^(2)60^(@)+4sin^(2)45^(@)+3sec^(2)30^(@)+5cos^(2)90^(@))/((csc30^(@)+sec60^(@)-cot^(2)30^(@)))

Prove that (4)/(3)cot^(2)30^(@)+3sin^(2)60^(@)-2" cosec"^(2)60^(@)-(3)/(4)tan^(2)30^(@)=3(1)/(3) .