Conversions between Polar Coordinates and Rectangular Coordinates
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Develop the conversion formulas by using
a circle with x, y, r, and Θ.
To convert from Cartesian (x, y) to Polar (r, Θ):
x = r cosΘ
y = r sinΘ
To convert from Polar (r, Θ) to Cartesian (x, y):
Examples:
1. Convert r = 5 to Cartesian Coordinates:
2. Convert
to Cartesian Coordinates:
3. Convert
to Polar Coordinates:
4. Convert x = a to Polar Coordinates: