Question
Find the value of (sinθ + cosθ)² + (sinθ –
cosθ)².Solution
(sin θ + cos θ ) ² + (sin θ cos θ )2 = sin2 θ + cos2 θ + 2 sin θ cos θ + sin2 θ + cos2 θ - 2 sin θ cos θ = 2 (sin2 θ + cos2 θ) = 2 (1) =2
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