SOLUTION: Convert the following polar coordinates to cartesian coordinates. a) (3,5pi/6) b) (1,pi/2) c) (3,11pi/18) d) (2,11pi/18)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Convert the following polar coordinates to cartesian coordinates. a) (3,5pi/6) b) (1,pi/2) c) (3,11pi/18) d) (2,11pi/18)      Log On


   



Question 1157771: Convert the following polar coordinates to cartesian coordinates.
a) (3,5pi/6)
b) (1,pi/2)
c) (3,11pi/18)
d) (2,11pi/18)

Found 2 solutions by Alan3354, Shin123:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the following polar coordinates to Cartesian coordinates.
a) (3,5pi/6)
b) (1,pi/2)
c) (3,11pi/18)
d) (2,11pi/18)
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The x is the radius times the sine of the angle.
The y is the radius times the cosine of the angle.
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That's all there is to it.

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
a) Since +x=r%2Acos%28theta%29 and y=r%2Asin%28theta%29, we have x=3%2Acos%285%2Api%2F6%29=3%2A%28-sqrt%283%29%2F2%29=%28-3%2Asqrt%283%29%29%2F2 and y=3%2Asin%285%2Api%2F6%29=3%2A1%2F2=3%2F2. So the coordinates are %28-%283%2Asqrt%283%29%29%2F2%29,3%2F2.
b) x=cos%28pi%2F2%29=0 y=sin%28pi%2F2%29=1 The coordinates are (0,1).
c)x=3%2Acos%2811%2Api%2F18%29,y=3%2Asin%2811%2Api%2F18%29