1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Point P is the intersection of the terminal arm of angle in standard position and th

  1. Apr 15, 2009 #1
    1. The problem statement, all variables and given/known data
    Point P is the intersection of the terminal arm of angle (-) in standard position and the unit circle with centre (0, 0). If P is in quadrant 2 and sin (-)= m, determine the coordinates of P in terms of m.


    2. Relevant equations



    3. The attempt at a solution
    no idea
     
  2. jcsd
  3. Apr 16, 2009 #2
    Re: Point P is the intersection of the terminal arm of angle in standard position an

    This is a lovely example of the special properties of the unit circle. The first thing you should do though with a problem like this is draw a picture.

    http://img24.imageshack.us/my.php?image=tempw.jpg
     
  4. Apr 16, 2009 #3
  5. Apr 16, 2009 #4
    Re: Point P is the intersection of the terminal arm of angle in standard position an

    FalconF1, what is the definition of [tex]sin \theta[/tex] and [tex]cos \theta[/tex] in a unit circle?


    01
     
  6. Apr 16, 2009 #5
    Re: Point P is the intersection of the terminal arm of angle in standard position an

    The definition of sin theta in any case is opposite/hypotenuse and cos theta is adjecent/hypotenuse. The unit circle has a radius of 1 so any right triangle with vertices at the origin, a point P on the circle, and the X or Y axis ( is a purely your choice, most choose the X axis ) will have a hypotenuse of 1. So if you chose to drop to the X axis then sin theta = Y/1 and cos theta = X/1.
     
  7. Apr 16, 2009 #6
    Re: Point P is the intersection of the terminal arm of angle in standard position an

    My teacher used to say that the easiest way to remember sin theta is Y sin
     
    Last edited: Apr 16, 2009
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Point P is the intersection of the terminal arm of angle in standard position and th
  1. Terminal arm Point P (Replies: 2)

Loading...