# Convert Equation from Polar to Rectangular Form

Equations in polar form are converted into rectangular form, using the relationship between polar and rectangular coordinates. Problems with detailed solutions are presented.
## Problems on Converting Equation from Polar to Rectangular Form## Problem 1Convert the polar equationto rectangular form. Solution to Problem 1We multiply both sides by RR = 4 sin t R ^{ 2} = 4 R sin t
We now use the relationship between polar and rectangular coordinates: R ^{ 2} = x^{ 2} + y^{ 2} and y = R sin t to rewrite the equation as follows:x ^{ 2} + y^{ 2} = 4 y
x ^{ 2} + y^{ 2} - 4 y = 0
It is the equation of a circle.
## Problem 2Convert the polar equationto rectangular form. Solution to Problem 2
Expand the left side of the given equation.
## Problem 3Convert the polar equationto rectangular form. Solution to Problem 3:
Rewrite the given equation as follows:
## More References and Links to Polar Coordinates and TrigonometryPolar Coordinates. |