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

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

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

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

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

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) + (sin A)/(1 - cos A) = 2 cosec A.

(1+sin x+cos x)^(2)=2(1+sin x)(1+cos x)

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

(sin A + cos A) / (sin A-cos A) = sqrt ((1 + sin2A) / (1-sin2A))

If (2sin A)/(1+sin A-cos A)=k, then (1+sin A-cos A)/(1+sin A) is