Waste less time on Facebook — follow Brilliant.
Already have an account? Log in here.
Polar Coordinates
Polar coordinates are a way to describe where a point is on a plane. Instead of using x and y, you use the angle theta and radius r, to describe the angle and distance of the point from the origin.
Already have an account? Log in here.
Consider the graphs of two polar functions \[r=6\sin \theta, r=1+\sin \theta.\] How many intersection points do they have?
Already have an account? Log in here.
What is the number of regions bounded by the polar curve \(r=\cos 2\theta\)?
Already have an account? Log in here.
If the two polar equations \[r=\frac{1}{\cos \theta -\sin \theta}, r^2=181\] are converted to Cartesian coordinates, what is the sum of the \(x\)-coordinates of all intersection points of the two curves?
Already have an account? Log in here.
How many times do the following curves in polar coordinates intersect \(r=\cos 4\theta\) and \(r=\frac{1}{2}\)?
Already have an account? Log in here.