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polar coordinates 4

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Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 3 comma 5 pi divided by 3.

asked Aug 3, 2014 in CALCULUS by Tdog79 Pupil

1 Answer

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Polar coordinates (-3,5pi/3)

Calculate the rectangular coordinates.

x =r cos θ

   = -3 cos ( 5pi/3)

   =-3cos(2pi-(pi/3))

   =-3(-cos(pi/3))                         (since theta in 3rd quadrant)   

   = -3(-1/2)

  =3/2

y =r sin θ

   =-3 sin( 5pi/3)

  =-3 sin (2pi-(pi/3))

 = -3 (-sin(pi/3))

   = -3(-√3/2)

   =3√3/2

Therefore, the rectangular coordinates are (3/2,3√3/2).

answered Aug 3, 2014 by anonymous

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