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)) .
How do you convert rectangular form to polar form?
How to: Given polar coordinates, convert to rectangular coordinates.
- Given the polar coordinate (r,θ), write x=rcosθ and y=rsinθ.
- Evaluate cosθ and sinθ.
- Multiply cosθ by r to find the x-coordinate of the rectangular form.
- Multiply sinθ by r to find the y-coordinate of the rectangular form.
How do you convert rectangular form to polar form without a calculator?
Converting from Polar Form to Rectangular Form
To convert from polar to rectangular, find the real component by multiplying the polar magnitude by the cosine of the angle, and the imaginary component by multiplying the polar magnitude by the sine of the angle.
