" (iii) cosec' "A=1+cot^(2)theta" and "(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) = "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 that: (cosec A-sin A)(sec A-cos A)=(1)/(tan A+cot A)

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

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

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

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

Prove that (cos theta-sin theta+1)/(cos theta+sin theta-1)=csc theta+cot theta

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