To convert from polar coordinates to rectangular coordinates, use the formulas x=rcosθ and y=rsinθ.
How do you solve for polar coordinates?
To convert polar coordinates (r,θ) to rectangular coordinates (x,y) follow these steps:
- Write cosθ=xr⇒x=rcosθ θ = x r ⇒ x = r cos and sinθ=yr⇒y=rsinθ θ = y r ⇒ y = r sin .
- Evaluate cosθ and sinθ .
- Multiply cosθ by r to find the x -coordinate of the rectangular form.