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" 5."cot^(2)30^(@)+cot^(2)45^(@)+cot^(2)...

" 5."cot^(2)30^(@)+cot^(2)45^(@)+cot^(2)60^(@)=(13)/(3)" ."

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Prove that: (i) cos^(2)30^(@),cos^(2)45^(@),cos^(2)60^(@) are in A.P. (ii) cot^(2)30^(@),cot^(2)45^(@),cot^(2)60^(@) are in G.P.

(1 - cot^(2)45^(@))/(1 + cot^(2)45^(@)) =

(1 - cot^(2)45^(@))/(1 + cot^(2)45^(@)) =

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^(@))

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

3 cot^(2) 60^(@) + sec^(2) 45 …………

Calculate : sec^(2)45^(@)-cot^(2)45^(@)-sin^(2)30^(@)-sin^(2)60^(@) .