(1+tan A+sec A)(1+cot A-cosec A)=

(1+tan A)/(sin A)+(1+cot A)/(cos A)=2(sec A+cosec A)

sin A(1+tan A)+cos A(1+cot A)=sec A+cosec A

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-csc A)(1+tan A+sec A)" is equal to "

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

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

Prove the following identities: (sin A+sec A)^(2)+(cos A+csc A)^(2)=(1+sec A csc A)^(2)cot^(2)A((sec A-1)/(1+sin A))+sec^(2)A((sin A-1)/(1+sec A))=0

(tan A)/(1+sec A)-(tan A)/(1-sec A)=2cosec A

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