Polar

From polar coordinates to rectangular

From polar coordinates to rectangular

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

  1. How do you solve for polar coordinates?

How do you solve for polar coordinates?

To convert polar coordinates (r,θ) to rectangular coordinates (x,y) follow these steps:

  1. Write cosθ=xr⇒x=rcosθ ⁡ θ = x r ⇒ x = r cos ⁡ and sinθ=yr⇒y=rsinθ ⁡ θ = y r ⇒ y = r sin ⁡ .
  2. Evaluate cosθ ⁡ and sinθ ⁡ .
  3. Multiply cosθ ⁡ by r to find the x -coordinate of the rectangular form.

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