`(tanA + cosecB)^2 - (Cot B - Sec A)^2 = 2 tana cot B( Cosec A + Sec B)`

Prove (tan A + cos ecB) ^ (2) - (cot B-sec A) ^ (2) = 2tan A cot B (cos ecA + sec B)

(tan A+cos ecB)^(2)-(cot B-sec A)^(2)=2tan a cot B(cos ecA+sec 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)

(1 + cot A — cosec A) (1 + tan A + sec A) = 2 .

(tan A+cot A)=(sec A*csc A)

tan B+cot B=2sec2A rArr A+B=

Prove that : (sec A - cosec A ) (1 + tan A + cot A)= tan A sec A-cot A cosec A .

Prove that : (sec A - tan A)/ (cosec A + cot A) = (cosec A - cot A)/ (sec A + tan A)

Prove that : (sin A - cos A) (1 + tan A + cot A) = (sec A)/ (cosec^(2) A) - (cosec A)/ (sec^(2) A)