" (v) "(cos A-sin A+1)/(cos A+sin A-1)=cosec A+cot A

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

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

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

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

( 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 : (1)/(cosec A - cot A) - (1)/(sin A) = (1)/(sin A) - (1)/(cosec A + 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

7. (sin A+cos A)(cot A+tan A)=sec A+cosec A