# Calculus

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How can I convert polar coordinates to rectangular coordinates?

• Calculus -

suppose you have a point (r,Ø)

Join the point to the origin and complete the right-angled triangle.
Call the point (r,Ø) as (x,y) in the rectangular system.

then
r^2 = x^2 + y^2
and tanØ = y/x

also :
x/r = cosØ ---> x = rcosØ
y/r=sinØ ---> y = rsinØ

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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