1. Put all unit circles away and prepare to take the “Unit Circle Quiz.”
Students,
Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary.
Put all unit circles away and prepare to take the “Unit Circle Quiz.”

2. Complete each identity.
Students,
Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary.
Complete each identity.

3. Not possible, we don’t know if “theta” is in quad I or quad II.
Recall sohcahtoa and draw a triangle.
Not possible, we don’t know if “theta” is in quad I or quad II.

4. Trigonometric Values of Common Angles
Unit Circle x y
(0, 1)
90°
120°
60°
135°
45°
30°
150°
(–1, 0)
180°
(1, 0) 0°
360°
210°
330°
315°
225°
240°
300°
(0, –1)
270°
Trigonometric Values of Common Angles

5. y x

6. Definitions of Trig Functions of Any Angle

8. Reference Angle
Let θ be an angle in standard position. Its reference angle is the acute angle θ´ formed by the terminal side of θ and the horizontal axis.

9. 4) A tree makes a shadow 35 feet long
4) A tree makes a shadow 35 feet long. The angle of elevation to the sun is 13. How tall is the tree?
Solve each triangle. 6) 5)

11. Linear and Angular Speed
2) The circular blade on a saw rotates at 2400 revolutions per minute.
Find the angular speed in radians per second.
The blade has a radius of 4 inches. Find the linear speed of a blade tip in inches per second.