[" Prove the following identity: "],[qquad (cos A)/(1+sin A)+(1+sin A)/(cos A)=2sec A]

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

Prove the following identities : 1 - (cos^(2) A)/ (1 + sin A)= sin A

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

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 the following identities : (cos A)/ (1 - sin A) = sec A + tan A

Prove the following identities : (cos A)/(1 + sin A) + tan A = sec A

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

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

Prove the following identities: (sin+cos A)/(sin A-cos A)+(sin-cos A)/(sin A+cos A)=(2)/(sin^(2)A-cos^(2)A)=(2)/(2sin^(2)A-1)=(2)/(1-2cos^(2)A)

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