Posted by **Josh** on Friday, July 29, 2011 at 3:37pm.

How can I convert polar coordinates to rectangular coordinates?

- Calculus -
**Reiny**, Friday, July 29, 2011 at 4:04pm
suppose you have a point (r,Ų)

Join the point to the origin and complete the right-angled triangle.

Call the point (r,Ų) as (x,y) in the rectangular system.

then

r^2 = x^2 + y^2

and tanŲ = y/x

also :

x/r = cosŲ ---> x = rcosŲ

y/r=sinŲ ---> y = rsinŲ

Depending on the equation, you sometimes have to be very creative in converting from one system to the other.

Do you have an example?

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