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Math Help - NYS Math B regents question

  1. #1
    stargrl12566
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    NYS Math B regents question

    On a monitor, the graphs of two impulses are recorded on the same screen,where 0 degress <=x<=360 degrees. The impulses are given by the followingequations:y=2sin^2 xy=1-sinxFind all values of x, in degrees, for which the two impulses meet in theinterval 0 degress <=x<=360 degrees. Solve in algebraically. Thanks so much
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by stargrl12566 View Post
    On a monitor, the graphs of two impulses are recorded on the same screen,where 0 degress <=x<=360 degrees. The impulses are given by the followingequations:y=2sin^2 xy=1-sinxFind all values of x, in degrees, for which the two impulses meet in theinterval 0 degress <=x<=360 degrees. Solve in algebraically. Thanks so much
    Here, hope you get it

    o sorry, i left my answers in radians, see TPH's solutions for the degree equivalents
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    Quote Originally Posted by stargrl12566 View Post
    On a monitor, the graphs of two impulses are recorded on the same screen,where 0 degress <=x<=360 degrees. The impulses are given by the followingequations:y=2sin^2 xy=1-sinxFind all values of x, in degrees, for which the two impulses meet in theinterval 0 degress <=x<=360 degrees. Solve in algebraically. Thanks so much
    2sin^2 x = 1-sin x

    2sin^2 x + sin x -1 =0

    (2sin x -1)(sin x +1) = 0

    1)2sin x - 1 thus , sin x = 1/2 thus, x=30, 150

    2)sin x +1 =0 thus, sin x = -1 thus, x=270
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