prove that (sinA+cosA)^2 -(sinA-cosA)^2=2sin2A
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Step-by-step explanation:
LHS
sin^2 A + 2 Sin A cos A + cos^2 A -[sin^2 A - 2 sin A cosA +cos^2A]
sin^2 A + 2 Sin A cos A + cos^2 A -sin^2 A + 2 sin A cosA -cos^2A
2 Sin A cos A + 2 Sin A cos A
2sin2A.cos2A
LHS = RHS
Hence Proved
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