[" Q."32." Prove: "(tan A+csc B)^(2)-(cot B-sec A)^(2)],[=2tan A cot B(csc A+sec B)]

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

Prove (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)

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

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

Prove that : sqrt (sec^(2) A + cosec^(2) A) = tan A + cot A

Prove that (sec A-cosec A)(1+tan A+cot A)=tan A secA + cotA cosec A

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

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