1. Reviewing Investigation 4

2. Rectangular Coordinates (Cartesian Graphs) Say we have this position vector on a regular, rectangular coordinate paper (cartesian graph paper) Its coordinates are (-4,3) How do we find the length of this vector? we are solving for r

3. Rectangular Coordinates (Cartesian Graphs) WE USE THE DISTANCE FORMULA (duh...) No big deal, right?

4. Converting Rectangular Coordinates to Polar coordinates First thing is to determine the angle measurement Let's stay POSITIVE! a positive Ө, revolves around the origin in a counter-clockwise fashion.

5. Converting Rectangular Coordinates to Polar coordinates See in the top right-hand corner? Here is how the x-y coordinates relate to tan Ө but to find the Ө, we have to use tan -1 tan -1 (-3/4) = - 64° 180 - 64 = 116° The polar coordinate is (5, 116°)

6. What if we were going from polar to cartesian... These are our secret weapons... r cos Ө = x (x-coordinate) r sin Ө = y (y-coordinate)

7. NOW, last assignment... Kind of fun... p. 291 - question 4