SOLUTION: Find the rectangular coordinates of the point whose polar coordinates are (6,pi/3). I tried this problem on my own and got (3,3sqrt3).

Algebra ->  Trigonometry-basics -> SOLUTION: Find the rectangular coordinates of the point whose polar coordinates are (6,pi/3). I tried this problem on my own and got (3,3sqrt3).       Log On


   

Question 861113: Find the rectangular coordinates of the point whose polar coordinates are (6,pi/3). I tried this problem on my own and got (3,3sqrt3).
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The polar ordered pair means, 6 units rotated pi/3 radians counter-clockwise. The initial point of the ray is at origin.

x=6%2Acos%28pi%2F3%29, and y=6%2Asin%28pi%2F3%29.

x=6%2A%281%2F2%29=3.

y=6%2Asqrt%283%29%2F2=3%2Asqrt%283%29.

Both just as you found.