Find `(1+cos2A+sin2A)/(1-cos2A+sin2A)`

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

Prove that (1+sin2A)/(cos2A)=(cosA+sinA)/(cosA-sinA)=tan((pi)/(4)+A)

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

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

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

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)

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

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

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

Prove the following identities: sin^4A-cos^4A=sin^2A-cos^2A=2sin^2A-1=1-2cos^2A