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Question

Simplify

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Solution

The given expression is,

cosθ[ cosθ sinθ sinθ cosθ ]+sinθ[ sinθ cosθ cosθ sinθ ]

Simplify the given expression,

cosθ[ cosθ sinθ sinθ cosθ ]+sinθ[ sinθ cosθ cosθ sinθ ] =[ cos 2 θ cosθsinθ sinθcosθ cos 2 θ ]+[ sin 2 θ sinθcosθ sinθcosθ sin 2 θ ] =[ cos 2 θ+ sin 2 θ cosθsinθsinθcosθ sinθcosθ+sinθcosθ cos 2 θ+ sin 2 θ ] =[ 1 0 0 1 ]

Thus, the value of given matrix is [ 1 0 0 1 ].


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