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" (vii) "sec^(2)60^(@)-cot^(2)30^(@)-(2t...

" (vii) "sec^(2)60^(@)-cot^(2)30^(@)-(2tan30^(@)cosec60^(@))/(1+tan^(2)30^(@))

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

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

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^(@))

Evaluate : 3 cos^(2)60^(@)sec^(2)30^(@)-2 sin^(2)30^(@)tan^(2)60^(@)

Evaluate : (i) sin60^(@)*cos30^(@)-cos60^(@)*sin30^(@) (ii) tan30^(@)*cosec60^(@)+tan60^(@)*sec30^(@) .

Show that (i) cos60^(@)*cos30^(@)-sin60^(@)*sin30^(@)=cos90^(@) (ii) cos60^(@)=1-2sin^(2)30^(@)=2cos^(2)30^(@)-1 (iii) (tan60^(@)-tan30^(@))/(1+tan60^(@)*tan30^(@))=tan30^(@)