How do you convert polar equations to rectangular equations?
To convert an equation given in polar form (in the variables
You have to remember that your equation may need some algebraic/trigonometric manipulations before being transformed into rectangular form; for example, consider:
Now you use the above transformations, and get:
Which is the equation of a straight line!
A more complicated situation can be the following example:
You can write:
Take the tangent of both sides and multiply and divide by
Transforming you get: