`(2)/(3)(cos^(4)30^(@)-sin^(4)45^(@))-3(sin^(2)60^(@)-sec^(2)45^(@))+(1)/(4)cot^(2)30^(@)`

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

cot^(2)30^@-2cos^(2)30^@-(3)/(4)sec^(2)45^@+(1)/(4)csc^(2)30^@

(5cos^(6)60^(@)+4sec^(2)30^(@)-tan^(2)45^(@))/(sin^(2)30^(@)+cos^(2)30^(@))

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

4sin^(2)60^(@)+3tan^(2)30^(@)-8sin45^(@)*cos45^(@)

((tan^(2)60^(@)+4sin^(2)45^(@)+3sec^(2)30^(@)+5cos^(2)90^(@))/((csc30^(@)+sec60^(@)-cot^(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 : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos30^(@)+(1)/(2)tan60^(@))

Evaluate : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos30^(@)+(1)/(2)tan60^(@))

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