[cos A=sin A+1=cosec A+cot A],[cos A+sin A-1]

(cos A-sin A+1)/(cos A+sin A-1)=cosec A+cot A," using the identity cosec^(2)A=1+cot

( cos A - sin A + 1 ) / ( cos A + sin A - 1 ) = cosec A + cot A cosec A + cot A , = using the identity cosec ^ 2 A = 1 + cot^ 2 A .

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

(cos A-sin A + 1) / (cos A + sin A-1) = csc A + cot A

Prove the following identities : (cot A + cosec A - 1)/ (cot A - cosec A + 1) = (1 + cos A)/ (sin A)

Prove the following identities : (cosec A - sin A) (sec A - cos A) (tan A + cot A) = 1

Prove the following : (cot A - cos A)/(cot A + cos A) = (cosec A -1)/(cosec A + 1) .

prove that (cos A-sin A + 1) / (cos A + sin A-1) = cos ecA + cot A

Prove the following identities : (1 + sin A)/ (cosec A - cot A) - (1 - sin A)/ (cosec A + cot A) = 2(1 + cot A)

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