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

Prove that :(1+sin2A-cos2A)/(1+sin2A+cos2A)=tan A

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

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

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

If A = 30^(@) , then Prove that : (i) sin 2A = 2 sin A cos A = (2 tan A)/(1 + tan^(2)A) (ii) 2 cos^(2)A - 1 = 1 - 2 sin^(2) A

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

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

Prove that [(1-sin A-cos A)^(2)=2(1-sin A)(1-cos A)]

Prove that (sin2A)/(1+cos2A)=tan A

(sin A + sin2A) / (1 + cos A + cos2A) = tan A