(cosA)^2-(sinA)^2=(1-(tanA)^2)/(1+(tanA)^2)
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L.H.S (cosA)^2-(sinA)^2
=1-sin^2A-sin^2A
=1-2sin^2A
R.H.S
(1-(tanA)^2)/(1+(tanA)^2
=(1-(sinA/cosA)^2)/(secA)^2
=(cos^2A-sin^2A/cos^2A)/(secA)^2
=(1-2sin^2A/cos^2A)/1/cos^2A
=1-2sin^2A
L.H.S=R.H.S(proved)
=1-sin^2A-sin^2A
=1-2sin^2A
R.H.S
(1-(tanA)^2)/(1+(tanA)^2
=(1-(sinA/cosA)^2)/(secA)^2
=(cos^2A-sin^2A/cos^2A)/(secA)^2
=(1-2sin^2A/cos^2A)/1/cos^2A
=1-2sin^2A
L.H.S=R.H.S(proved)
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