" "diafirum cosec' "A=1+cot^(2)A sin pi(cos A-sin A+1)/(cos A+sin A-1)=csc 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) = "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

(cot^(2)A)/((cosec A+1)^(2))=(1-sin A)/(1+sin A)

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

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

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

Prove that : (sin A)/ (1 + cos A) + (1 + cos A)/ (sin A) = 2 cosec A

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