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28 March, 07:43

2sinxcosx-sin (2x) cos (2x) = 0

A. give the most general solutions to equation

B. simplify the first expression using double angle identity for sine

C. factor the left side of equatioin

D. solve the factored equation

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Answers (1)
  1. 28 March, 07:52
    0
    2sinxcosx = sin (2x)

    2sinxcosx-sin (2x) cos (2x) = 0

    sin (2x) - sin (2x) cos (2x) = 0

    now factor out sin (2x)

    sin (2x) [1 - cos (2x) ] = 0

    sin (2x) = 0

    since

    sin (0) = 0

    2x = 0

    x = 0
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