`(x-xtan^(2)30^(@))/(1+tan^(2)30^(@))=Sin30^(2)30^(@)+4 Cot^(2)45^(@)-Sec^(2)60^(@)`

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

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

sin^(2) 60^(@) + 2 tan 45^(@) - cos^(2) 30^(@)

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^(@))

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