If E(\theta)=[\table \cos\theta,\sin\theta;-\sin\theta,\cos\theta] then E(\alpha)E(\beta) is equal to [NDA I 2015]

NDA Math Matrices

Question : 61 of 69

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If E(θ)=[

cosθ	sinθ
−sinθ	cosθ

] then E(α)E(β) is equal to

[NDA I 2015]

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cosα	sinα
−sinα	cosα

cosβ	sinβ
−sinβ	cosβ

cosαcosβ−sinαsinβ	cosαsinβ+sinαcosβ
−sinαcosβ−cosαsinβ	cosαcosβ−sinαsinβ

cos(α+β)	sin(α+β)
−sin(α+β)	cos(α+β)