(sinA + cosA) ² - (sina - cosA) ² = 4 sinA cosA
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Answer:
LHS = (sinA + cosA)² - (sinA - cosA)²
= (sin²A + cos²A + 2sinAcosA) - (sin²A + cos²A - 2sinAcosA)
= (1 + 2sinAcosA) - (1 - 2sinAcosA)
= 2sinAcosA + 2sinAcosA
= 4sinAcosA
= RHS
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