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Question

Simplify: cosθ[cosθsinθsinθcosθ]+sinθ[sinθcosθcosθsinθ]

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Solution

cosθ[cosθsinθsinθcosθ]+sinθ[sinθcosθcosθsinθ]
=[cos2θcosθsinθsinθcosθcos2θ]+[sin2θsinθcosθsinθcosθsin2θ]
=[cos2θ+sin2θcosθsinθsinθcosθsinθcosθ+sinθcosθcos2θ+sin2θ]
=[1001]

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