The document describes how to draw angles in standard position on a unit circle and convert between degrees and radians. It provides examples of drawing angles such as 210°, -45°, and 540° in standard position and rewriting angles such as 30°, 45°, and an unspecified angle in radians and degrees. It also gives examples of finding coterminal angles for 210° with one positive and one negative measure.

1. Standard Position for
y an Angle:
90o Vertex at the origin
Initial side on the x-axis
Terminal side
-180o
x
180o Initial side 360o
270o -90o

2. Draw the angle 210 in standard position.
y
90o
x
180o
270o

3. Draw the angle -45 in standard position.
y
90o
x
180o
270o

4. Draw the angle 540 in standard position.
y
90o
x
180o
270o

5. Unit Circle
C=
C=
360o =
180o =

6. Rewrite 30 in radians.
180o =
30 deg
Answer:

7. Rewrite 45 in radians.
180o =
45deg
45
Answer:

8. Rewrite in degrees.
180o =
radians
Answer: –300

9. Find one angle with positive measure and one angle
with negative measure coterminal with 210 .
y
A positive angle is 90o
A negative angle is
180o
270o

10. Find one angle with positive measure and one
angle with negative measure coterminal with
A positive angle is
A negative angle is