Prove that `(cos A)/(1+sin A)+(1+sin A)/(cos A)=2sec A`

(cos A)/(1+sin A)+(sin A)/(cos A)=sec A

Prove the following identity,where the angles invorved are acute angles for which the expressions are defined.(ii) (cos A)/(1+sin A)+(1+sin A)/(cos A)=2sec A

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

Prove that (1+sec A)/(sec A)=(sin^(2)A)/(1-cos A)

To prove '(cos A / 1 + sin A) + (1 + sin A / cos A) = 2sec A

Prove that (1+sin A+cos A)^(2)=2(1+sin A)(1+cos A)

(sin2A) / (sin A) - (cos2A) / (cos A) = sec A

Prove that (sec A-1)/(sec A+1)=((sin A)/(1+cos A))^(2)=(cot A-cos ecA)^(2)

Prove the following identities: (cos A)/(1-sin A)+(sin A)/(1-cos A)+1=(sin A cos A)/((1-sin A)(1-cos A))((1+cot A+tan A)(sin A-cos A)/(sec^(3)A-cos ec^(3)A)=sin^(2)A cos^(2)A

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