MathematicsIf   A=cosθ−sinθsinθcosθ, then  A2 is

If   A=cosθsinθsinθcosθ, then  A2 is

  1. A

    cos2θsin2θsin2θcos2θ

  2. B

    cos2θsin2θsin2θcos2θ

  3. C

    1001

  4. D

    None of these

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    Solution:

    A=cosθsinθsinθcosθA2=cosθsinθsinθcosθ×cosθsinθsinθcosθ=cos2θsin2θcosθsinθcosθsinθsinθcosθ+cosθsinθsin2θ+cos2θ=cos2θsin2θsin2θcos2θ

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