1. 1) On a blank unit circle fill in the degree measures.
Students,
Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary.
1) On a blank unit circle fill in the degree measures.
2) On the blank unit circle fill in the radian measures.
3) On the blank unit circle fill in the coordinates.

3. 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

4. Hypotenuse
Opp side of θ
Adj side of θ

7. 1) A biologist wants to know the width W of a river in order to properly set instruments for studying the pollutants in the water. From point A, the biologist walks downstream 70 feet and sights to point C. From this sighting, it is determined that θ = 54°. How wide is the river?
2) A 12–meter flagpole casts a 12–meter shadow, as shown in the figure. Find θ, the angle of elevation to the sun.

8. 2) Evaluate the following without a calculator.
4) Use a calculator to evaluate.

9. Use a calculator to find the trig ratios.

10. 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.