`(1-sin A)(1+sin A)=cos^(2)A`

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

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

Integrate the following: int{(5cos^(3)x+2sin^(3)x)/(2sin^(2)x*cos^(2)x)+sqrt(1+sin2x)+(1+2sin x)/(cos^(2)x)+(1-cos2x)/(1+cos2x)}dx

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

(1+cos A)/(sin A)+(sin A)/(1+cos A)=(2)/(sin 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)

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

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

((1-sin A cos A) (sin ^ (2) A-cos ^ (2) A)) / (cos A (sec A-cos ecA) (sin ^ (3) A + cos ^ (3) A ))