Prove that : `(2tan^(2)30^(@))/(1-tan^(2)30^(@))+sec^(2)45^(@)-cot^(2)45^(@)=sec60^(@)`.

Prove that (2tan^2 (30^@))/(1-tan^2(30^@))+sec^2(45^@)-cot^2(45^@) = sec(60^@) .

If (2tan^(2)30^(@))/(1-tan^(2)30^(@))+sec^(2)45^(@)-sec^(2)0^(@)=xsec60^(@) , then the value of x is

Prove that : 3cosec^(2)60^(@)-2cot^(2)30^(@)+sec^(2)45^(@)=0 .

Prove that : 3cosec^(2)60^(@)-2cot^(2)30^(@)+sec^(2)45^(@)=0 .

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

Find the values of (2 tan^2 30^@)/(1-tan^2 30^@)+sec^2 45^@-cot^2 45^@-sec60^@ .

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

cos^(2)0^@-2cot^(2)30^(@)+3cosec^(2)90^(@)=2(sec^(2)45^(@)-tan^(2)60)

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