(sinA+cosA)²+(sinA-cosA)²=2
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Proof:
L.H.S.
= (sinA + cosA)² + (sinA - cosA)²
= 2sin²A + 2sinAcosA + 2cos²A - 2sinAcosA
= 2 (sin²A + cos²A)
= 2
= R.H.S.
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