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

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

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

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

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

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

Prove that : (1+sin 2A)/(cos 2A) = (cos A + sin A)/(cos A - sin A) = tan (pi/4 + A)

Prove that: (sin2A)/(1+cos2A)=tanA

Prove that, (sin (x/2)-cos (x/2))^(2)=1-sinx

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

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