. Sin^4A-Cos^4 A = Sin²A - Cos^2 A= 2sin^2 A-1 = 1-2 cos^2 A
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Sin4A - Cos4A = (Sin2A)^2 - (cos2A)^2 = (sin2A+cos2A)(sin2A-cos2A) = (1)(sin2A-Cos2A) = (sin2A-Cos2A)
Hence proved
sin2A - cos2A = sin2A - (1-sin2A) = sin2A - 1 + sin2A = 2sin2A -1
Hence proved
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