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Prove the following identities :cos4 A + sin4 A + 2 sin2 A. cos2 A = 1 |
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Answer» Taking LHS = cos4 A + sin4 A + 2 sin2 A cos2 A Using the identity,(a + b)2 = (a2 + b2 + 2ab) Here, a = cos2 A and b = sin2 A = ( cos2 A + sin2 A) [∵ cos2 θ + sin2 θ = 1] = 1 |
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