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The value of the determinant cos xsin xsin xcos x|1002cos xsin x3sin xcos x| is ____________. -

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Question

The value of the determinant `abs ((1,0,0),(2, "cos x", "sin x"),(3, "sin x", "cos x"))` is ____________.

Options

  • 1

  • cos2x

  • 0

  • sin2x

MCQ
Fill in the Blanks

Solution

The value of the determinant `abs ((1,0,0),(2, "cos x", "sin x"),(3, "sin x", "cos x"))` is cos2x.

Explanation:

expanding along R1
1(cos2x - sin2x ) = cos2x

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