c4 trig question

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  1. koat's Avatar
    • New Member
    • Posts: 20
    c4 trig question
    hello
    can somebody help me with the question
    solve the equation sin2x+cos2x=0 for (-pi/2<_x<_pi/2)
    i only get -pi/8 and 7/8pi which is wrong.
    answer says 3/8 pi:confused:
    can somebody help please
    thanks
    Last edited by koat; 01-06-2012 at 22:52.
  2. xiyangliu's Avatar
    • Benevolent Member
    • Posts: 744
    (Original post by koat)
    hello
    can somebody help me with the question in the mei book p. 217 question 10i
    i only get -pi/8 and 7/8pi which is wrong.
    can somebody help please
    thanks
    Let me take a look


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  3. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: c4 trig question
    (Original post by koat)
    hello
    can somebody help me with the question in the mei book p. 217 question 10i
    i only get -pi/8 and 7/8pi which is wrong.
    can somebody help please
    thanks
    It will be better if you post the question, everyone won't have the mei book.
  4. xiyangliu's Avatar
    • Benevolent Member
    • Posts: 744
    U should get -1/8pi and 3/8 pi.

    Do u knw how I got there ??


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  5. xiyangliu's Avatar
    • Benevolent Member
    • Posts: 744
    Divide the equation by cos2x

    So u get tan2x = -1

    Solve for 2x = -1/4pi an 3/4pi

    Then divide these two by 2. So Now all solution between the limit is found


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  6. Amy-Rose's Avatar
    • Respected Member
    • Posts: 163
    Re: c4 trig question
    (Original post by koat)
    how do you get 3/4pi ?
    tanx=-1

    2x=-1/4pi, using CAST shows tangent is positive in third quadrant, so we do pi+-1/4pi to get 3/4pi

    therefore half these,

    x=-1/8pi, 3/8pi ---> both of which are in the range.
  7. koat's Avatar
    • New Member
    • Posts: 20
    Re: c4 trig question
    (Original post by xiyangliu)
    Let me take a look


    This was posted from The Student Room's iPhone/iPad App
    thanks
    you know i dont quite get part v
    because i get the x values -0.366 and 1.366 in part iv but the values in part i are smaller so why does the book say in the solutions angle not small :confused:
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