[((1+tan^(2)A)/(1+cot^(2)A))=((1-tan A)/(1-cot A))^(2)],[" Evaluate : "(cos45^(@))/(sec30^(@)+csc30^(@))]

(1+tan A)/(sin A)+(1+cot A)/(cos A)=2(sec A+cosec A)

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^(@))

" (i) "(1+sec A+tan A)(1-cosec A+cot A)=2

Prove that : (i) ((tan 60^(@)+1)/(tan 60^(@) - 1))^(2) = (1 + cos 30^(@))/(1 - cos 30^(@)) (ii) 3 "cosec"^(2) 60^(@) - 2 cot^(2) 30^(@) + sec^(2) 45^(@) = 0

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

Evaluate (sin30^(@)+tan45^(@)-cosec60^(@))/(sec30^(@)+cos60^(@)+cot45^(@))