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Question

If F(x)=cos xsin x0sin xcos x0001, then F(x).F(y)=


  1. F(x)+F(y)

  2. F(x+y)

  3. F(xy)

  4. F(xy)


Solution

The correct option is B

F(x+y)


F(x).F(y)=cos xsin x0sin xcos x0001cos ysin y0sin ycos y0001cos x.cos ysin x.sin ycos x.sin ysin x.cos y0sin x.cos y+cos x.sin ysin x.sin y+cos x.cos y0001cos (x+y)sin(x+y)0sin (x+y)cos (x+y)0001=F(x+y)

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