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22 February, 19:53

Solve 2sin^2x=sinx, if 0

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Answers (1)
  1. 22 February, 20:42
    0
    sin

    x

    (

    2

    sin

    x

    +

    1

    )

    =

    0

    Use trig table and unit circle - ->

    a. sin x = 0 = > x = 0, and

    x

    =

    π

    and

    x

    =

    2

    π

    b. 2sin x + 1 = 0 = >

    sin

    x

    =

    -

    1

    2

    =>

    x

    =

    7

    π

    6

    and

    x

    =

    11

    π

    6

    .

    Finally, within interval

    [

    0

    ,

    2

    π

    ]

    ,

    there are 5 answers:

    0

    ,

    π

    ,

    2

    π

    ,

    7

    π

    6

    and

    11

    π

    6
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