How do you graph #r=8costheta#?
Write the given polar equation as
Nor convert to cartesean form
This equation represents a circle with centre at (4,0) and radius 4. This can now be easily graphed
If you convert this equation to Cartesian coordinates, the resulting equation will be a circle.
Multiply both sides by r:
Substitute the Cartesian conversion equations:
From the pattern
This makes the equation , become:
This is a circle with a radius of 4 and a center at the Cartesian point
To graph the original equation, set your compass to a radius of 4 and put the center at the polar point