`cosec ^(2)57^(@)-tan^(2)33^(@)=`

Evaluate: "cosec"^(2)30^(@)+sec^(2)60^(@)+tan^(2)30^(@) .

If x=sec57^(@) , then cot^(2)33^(@)+sin^(2)57^(@)+sin^(2)33^(@)+cosec^(2)57^(@)cos^(2)33^(@)+sec^(2)33^(@)sin^(2)57^(@) is equal to:

Prove that sec^(2)33^(@)-cot^(2)57^(@)=1 .

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

Prove that: i) cot^(2)A+cot^(4)A="cosec"^(4)A-"cosec"^(2)A ii) tan^(2)A+tan^(4)A=sec^(4)A-sec^(2)A

Prove that: i) cot^(2)A+cot^(4)A="cosec"^(4)A-"cosec"^(2)A ii) tan^(2)A+tan^(4)A=sec^(4)A-sec^(2)A

(cos^(2)33^(@)-cos^(2)57^(@))/(sin21^(@)-cos21^(@))=

(csc ^ (2) 63 ^ (@) + tan ^ (2) 24 ^ (@)) / (cot ^ (2) 66 ^ (@) + sec ^ (2) 27 ^ (@)) + (sin ^ (2) 63 ^ (@) + cos63 ^ (@) sin27 ^ (@) + sin27 ^ (@)) / (2 (csc ^ (2) 65 ^ (@) - tan ^ (2) 25 ^ ( @)))

Consider the following I. sin^2 1^@+ cos^2 1^@ =1 II. sec^2 33^@ -cot^2 57^@ = cosec^2 37^@ - tan^2 53^@ Which of the above statement is/are correct ?