" 57."tan^(2)A sec^(2)B-sec^(2)A tan^(2)B=tan^(2)A-tan^(2)B

Prove: tan^(2)A sec^(2)B-sec^(2)A tan^(2)B=tan^(2)A-tan^(2)B

Prove that (i) (sin^(2)A cos^(2)B - cos^(2)A sin^(2) B )=(sin^(2)A- sin^(2)B) (ii) (tan^(2)A sec^(2)B - sec^(2)A tan^(2)B)=(tan^(2)A- tan^(2)B)

sec^(4)A-sec^(2)A=tan^(4)A+tan^(2)A

sec^(2)A tan^(2) B-tan^(2)A sec^(2) B=

sec^(2)A sec^(2)B-sec^(2)A tan^(2)B-tan^(2)A sec^(2)B+tan^(2)A tan^(2)B=

Prove: tan^2Asec^2B-sec^2Atan^2B=tan^2A-tan^2B

Prove that sec^(4)A-sec^(2)A=tan^(2)A+tan^(4)A .

Prove that: tan(A+B)tan(A-B)=(tan^(2)A-tan^(2)B)/(1-tan^(2)A tan^(2)B)

If a sec alpha+ b tan alpha= 1 and a^(2) sec^(2) alpha-b^(2) tan^(2) alpha=5 then 4a^(2)-9b^(2)=

Prove : (1-cos^(2)A) *sec ^(2)B + tan^(2)B (1- sin^(2)A) = sin^(2) A + tan^(2)B