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April 1st, 2007, 05:13 PM
| | | 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 | 
April 1st, 2007, 05:28 PM
|  | vs Jhevon | | Join Date: Feb 2007 Location: New York, USA
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Originally Posted by stargrl12566 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 | 
April 1st, 2007, 05:29 PM
|  | Global Moderator | | Join Date: Nov 2005 Location: New York City
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Originally Posted by stargrl12566 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 | | Thread Tools | | | | Display Modes | Linear Mode |
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