TRIGONOMETRIC FUNCTIONS

Section 4.1Angles and Their Measure

Objectives

A. Recognize and use the vocabulary of angles.B. Use degree measure.C. Draw angles in standard position.D. Find coterminal angles.E. Find complements and supplements.F. Use radian measure.G. Convert between degrees and radians.H. Find the length of a circular arc.I. Use linear and angular speed t describe motion on a

circular path.

A. Recognize and use the vocabulary of angles.

1. Identify the initial side, terminal side, vertex.

2. Sketch an angle …a) In standard positionb) With positive anglec) With negative angled) That lies in quadrant IIe) That lies in quadrant IVf) Quadrantal angle

B. Use degree measure.

3. Classify the angles. Acute Angle, Right Angle, Obtuse Angle, Straight Angle.

C. Draw angles in standard position.

4. Draw each angle in standard position:

a) a angleb) a anglec) a angled) a angle

D. Find coterminal angles.

5. Assume the following angles are in standard position. Find a positive angle less than that is coterminal with:

(Note: Two coterminal angles for an angle of

can be found by adding or subtracting from )

a) a angleb) a angle

E. Find complements and supplements.

6. If possible, find the complement and supplement of the given angle:

F. Use radian measure.

7. A central angle, , in a circle of radius 6 inches intercepts an arc of length 15 inches. What is the radian measure?

(Note: To find the Central Angle, use radian)

G. Convert between degrees and radians.

8. Convert each angle in degrees to radians:(Note: To convert degrees to radians, multiply degrees by .)

G. Convert between degrees and radians.

9. Convert each angle in radians to degrees.(Note: To convert radians to degrees, multiply radians by )

a) radians

b) - radians

c) 1 radian

H. Find the length of a circular arc.

10. A circle has a radius of 10 inches. Find the length of the arc intercepted by a central angle of .(Note: Use the formula . must be expressed in radians).

I. Use linear and angular speed to describe motion on a circular path.

11.A wind machine used to generate electricity has blades that are 10 feet in length. The propeller is rotating at four revolutions per second. Find the linear speed, in feet per second, of the tips of the blades.

(Note: Use angular speed and Linear speed )

Check Point: Angles and Their Measure

1. Do the check point problems. • It is due at the end of the period. • If not finish, you may turn in next meeting

period.

2. Assignment 4.1 pg. 434 #2-84 even; # 94 & 95