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Rotation of axes

  1. Oct 13, 2007 #1
    Let a point be(x,y)

    If the coordinate axes are shifted in clockwise direction by an angle theeta,what are the coordinate of the new point(X,Y).
     
  2. jcsd
  3. Oct 13, 2007 #2

    HallsofIvy

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    How about drawing a picture. Draw the x-axis horizontal, the y-axis vertical and mark the point (x,y). Now draw the x'-axis at angle [itex]\theta[/itex] to the x-axis, y'-axis at angle [itex]\theta[/itex] to the y-axis. Draw a perpendicular to the x-axis. Its length is y. Draw a perpendicular to the x'-axis. Its length is y'. You now have two right triangles and should be able to use trig functions to deternine y' as a function of x, y, and [itex]\theta[/itex].
     
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