[" Fisturitition cosec' "A=1+cot^(2)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

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

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

Prove that cosec A -2 cot 2 A cos A = 2 sin A.

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

(cot^(2)A*sec A)/(cos^(2)A*sin^(2)A)=sec A*cosec^(4)A