Coordinates

Polar to rectangular

Polar to rectangular

To convert from polar coordinates to rectangular coordinates, use the formulas x=rcosθ and y=rsinθ.

  1. How do you go from polar coordinates to Cartesian coordinates?
  2. What is the rectangular form of a complex number?

How do you go from polar coordinates to Cartesian coordinates?

To convert from Cartesian coordinates to polar coordinates: r=√x2+y2 . Since tanθ=yx, θ=tan−1(yx) . So, the Cartesian ordered pair (x,y) converts to the Polar ordered pair (r,θ)=(√x2+y2,tan−1(yx)) .

What is the rectangular form of a complex number?

The rectangular representation of a complex number is in the form z = a + bi . If you were to represent a complex number according to its Cartesian Coordinates, it would be in the form: (a, b) ; where a , the real part, lies along the x axis and the imaginary part, b , along the y axis.

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