Evaluate `10*((1-cot^(2)45^(@))/(1+sin^(2)90^(@)))`

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

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

Calculate : (1-sin^(2)30^(@))/(1+sin^(2)30^(@))xx(cos^(2)60^(@)+cos^(2)30^(@))/("cosec"^(2)90^(@)-cot^(2)90^(@)) divide (sin60^(@) tan30^(@))

Calculate : 3tan^(2)45^(@)-sin^(2)60^(@)-(1)/(3) cot^(2)30^(@)-(1)/(8) sec^(2)45^(@) .

Evaluate: (sin^(4) 60^(@) + sec^(4) 30^(@)) - 2 (cos^(2) 45^(@) - sin^(2) 90^(@))

Evaluate : (cos^(2)(45^(@) + theta)+ cos^(2) (45^(@) -theta))/(tan(60^(@) + theta) xx tan(30^(@) - theta))+(cot30^(@) + sin 90^(@))xx (tan60^(@) -sec0^(@))

Evaluate : (cos^(2)(45^(@) + theta)+ cos^(2) (45^(@) -theta))/(tan(60^(@) + theta) xx tan(30^(@) - theta))+(cot30^(@) + sin 90^(@))xx (tan60^(@) -sec0^(@))

Evaluate: (sin^(4) 60^(@) + sec^(4)30^(@)) - 2(cos^(2)45^(@) - sin^(2) 90^(@))

cos 45^@=1/sqrt2 and sin 30^(@)=1/2 . Find the value of cos^(2)45^(@)+sin^(2)30^(@) .