सिद्ध कीजिए कि `(tan ^(2)60^(@)+4cos ^(2)45^(@)+3cosec^(2)60^(@)+2 cos ^(2)90^(@))/(2 cosec 30^(@)+3sec60^(@)-(7)/(3)cot^(2)30^(@))=3`

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

The value of (tan ^(2) 60^(@) + 4 sin ^(2) 45 ^(@) + 3 sec ^(2) 30^(@) + 5 cos ^(2) 90^(@))/( "cosec" 30^(@) + sec 60^(@) - cot ^(2) 30^(@)) is

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

If x sin 45^(@) cos^(2)60^(@)=(tan^(2)60^(@) cosec 30^(@))/(sec 45^(@) cot^(2) 30^(@)) then x

If x sin 45^(@) cos^(2)60^(@)=(tan^(2)60^(@) cosec 30^(@))/(sec 45^(@) cot^(2) 30^(@)) then x

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