Polar Graphs

I don't come to class too much. As you can probably tell. But. I am making good use of my buddies in class. Thank the Lord for good men like Alecs who can teach me the lesson from their blog. Here are some of the things I picked up. 

We learned about a new system of graphing. Originally, we used the rectangular graphing system, but now we can use the polar graphing system.

On a rectangular graph, a point is defined by (x, y). To reach this point, you must travel x units to the right and y units up. No point can be defined by two different ordered pairs; for example, the point (1, 6) can only be defined by (1, 6).

On a polar graph, a point is defined by (r, θ). To reach this point, you must travel r units in the direction of θ radians. This means that a point can be defined by multiple different ordered pairs; for example, the point (2, π) can also be defined by (-2, 0). This is because traveling 2 units in the direction π is the same as traveling 2 units backwards from the direction 0 or 2π.

To convert from polar to rectangular coordinates, use the following equations:

x = r cosθ
y = r sinθ

To convert from rectangular to polar coordinates, use the following equations:

tanθ = y / x
r² = x² + y²