(Sketching polar graphs) sketch the curve with the given polar equation by first sketching the graph of r as a function of theta in Cartesian coordinates.

Question

zenmo · Answer

$$r = 2 + 2\cos \theta $$

zenmo · Answer

I am not sure how to start this, but I got the general idea of the problem.

phi · Answer

pick some values of theta, and generate a table for theta, r values.
plot the points
connect the dots.

zenmo · Answer

what theta should I use?

phi · Answer

cos theta  has a period of 2pi (360 deg) so we only need angles between 0 and 2pi
I would use 0,30,60,90
as a first step.

zenmo · Answer

Yea choosing pi/6, pi/4, pi/3, pi/2, 2pi/3 , 3pi/4, 5pi/6, pi|dw:1479664964533:dw|, so I would need to continue from pi to 2pi to get the picture?