Week 5: Polar Coordinates

We looked the Polar Coordinate System, which we have never really used before. We have always used the rectangular coordinate system but not the polar.

The Polar Coordinate System uses (r, θ)
r is the direction it goes in a circle and if the θ>0 then it is counterclockwise if it is less then 0 then clockwise

TO convert polar to rectangular
you use x=rcosθ and y=rsinθ

To convert rectangular to polar you use r^2 =x^2 + y^2 and tanθ=y/x

above is an example of a polar equation being put on the graph. There also are four ways of naming in polar coordinates. Above are the four examples.

These equations are also used to solve for the other side in rectangular and in polar.

Here is an example.

It is similar to verifying but not at the same time.

This is the polar coordinate system

SEE YOU NEXT WEEK!!!