2-2 Measurement of Rotation

Cartesian plane












-Angles in the cartesian plane can continue past 360
-Clockwise rotations are measured with positive degrees
-Counterclockwise rotations are measured with negative degrees

The same position on a cartesian plane has more than one way of looking at it. You can measure it normally, measure it counterclockwise to get a negative degree, or you can go multiple times around the circle.
















Coterminal angles have the same side.
angles 135 and -225 are coterminal

A reference angle is the smaller angle make with the x axis (always measured counterclockwise).
180-135=45
45 is the reference angle


example:

What is the measure of the reference angle of the angle 5328?
5328/360=14.8
5328 makes 14 whole revolutions plus 0.8 revolutions
0.8(360)=288
288 is the number of degrees left after 14 whole revolutions
To find the reference angle 360-288=72
The reference angle is 72 degrees

look here for more help
http://www.analyzemath.com/Angle/reference_angle.html


natalie you're next, don't forgeeeeeeeeeetttttttttttt!!



look for the man in the coffee beans








Apparently, if you can find the man within 3 seconds, your right brain is functioning better than most. It's functioning normally if between 3 seconds and one minute. You need more protein if it takes from 1 to 3 minutes, and your right brain is an absolute mess if it takes longer. The only advice at that point is to do more of these types of exercises in order to strengthen the right side of the brain.


....yeah that guy's kind of creepy...