[65.5Prove" that "],[(1+tan A tan B)^(2)+(tan A-tan B)^(2)],[=sec^(2)A se theta]

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

Prove the following identities: (1+tan A tan B)^(2)+(tan A-tan B)^(2)=sec^(2)A sec^(2)B(tan A+csc B)^(2)-(cot B-sec A)^(2)=2tan A cot B(csc A+sec B)

If f(x)=sec^(2)x then (1+tan A*tan B)^(2)+(tan A-tan B)^(2)=

Prove that 1+tan A tan((A)/(2))=tan A cot((A)/(2))-1=sec A

Prove that :1+tan theta tan2 theta=sec2 theta

prove that 1+tan theta tan2 theta=sec2 theta

(sec A sec B+tan A tan B)^(2)-(sec A tan B+tan A sec B)^(2)=1

(sec A sec B+tan A tan B)^(2)-(sec A tan B+tan A sec B)^(2)=1

Prove that (1+ tan^4 theta)/(1+ tan^2 theta) = sec ^2 theta-2 sin^2theta

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