[" 40.Prove the Identity' "],[qquad (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

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

Prove the following identities, 0^(@) le theta le 90^(@) . (v) (cos A - sin A +1)/(cos A + sin A -1) = cosec A + cot A

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(cos A-sin A+1)/(cos A+sin A-1)=cos ecA+cot A

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

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

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

Prove the following identities : (cosec A + sin A) (cosec A - sin A) = cot^(2) A + cos^(2) A

Prove the following identities : (cos 0 cot 0)/ (1 + sin 0) = cosec 0 -1