Objectives:1. Be able to draw an angle in standard position and find the

positive and negative rotations. 2. Be able to convert degrees into radians and radians into

degrees. 3. Be able to find complementary and supplementary angles

in radians and degrees.4. Be able to find co-terminal angles in radians and degrees5. Be able to find the arc length and Area of a sector.

Critical Vocabulary:Positive Rotation, Negative Rotation, Standard

Position, Quadrantal Angle, Co-terminal, Degrees, Radians

Ray: Starts at a point and extends indefinitely in one direction.

Angle: Two rays that are drawn with a common vertex

Positive Rotation: The angle formed from the initial side to the terminal side rotating ___________________. Negative Rotation: The angle formed from the initial side to the terminal side rotating __________________.Standard Position: ___________________________________.

Lies in Quadrant: ____________________________________.

1. = 360 degrees = __________

2. = 90 degrees = ___________

3. = 180 degrees = ___________

Example 1: Draw an angle of _______° in standard position

(theta) = the angle measurement.

= ________________

= ________________

= ________________

4. = 260 degrees = ___________

Lies in Quadrant ______

Reference: __________

Reference Angle: _________________________________________________________________________________________________________

Example 2: Draw an angle of _______° in standard position

= ________________

= ________________

= ________________

Lies in Quadrant ______

Reference: __________

Example 3: Draw an angle of _______° in standard position

= ________________

= ________________

= ________________

Lies in Quadrant ______

Reference: __________

Example 4: Draw an angle of _______° in standard position

= ________________

= ________________

= ________________

Lies in Quadrant ______

Reference: __________

Example 5: Draw an angle of _______° in standard position

= ________________

= ________________

= ________________

Lies in Quadrant ______

Reference: __________

Page 862-863 #3-9 all, 14

Directions (#3-9): 1. Draw the Angle in Standard Position

2. How many complete rotations 3. What are Alpha and Beta 4. What Quadrant does the Angle Lie

in 5. What is the Reference Angle

Converting Degrees and radians 1 ______________revolution

180 _____________________ 1 _______________________

Example 6: Convert _____ degrees into radians

Example 7: Convert _______radians into degrees

Complementary Angles: 2 angles sum is 90 degrees __________________ Supplementary Angles: 2 angles sum is 180 degrees _________________ Co-Terminal Angles: Angles in Standard position with terminal sides that coincide Example 8: Give two angles in degrees that are

Complementary

Example 9: Give two angles in degrees that are Supplementary

Example 10: Give two angles in degrees that are Coterminal

Example 11: Give two angles in radians that are Complementary

Example 12: Give two angles in radians that are Supplementary

Example 13: Give two angles in radians that are Coterminal

Example 14: Determine two co-terminal angles (one positive and one negative) for the angle 7π/6.

Example 15: Find the complement and supplement of the angle π/12

Read: Page 861-862Page 863 #15-37 odds

Example 16: Draw an angle of _______° in standard position

= ________________

= ________________

= ________________

Lies in Quadrant ______

Reference: __________

Example 17: Draw an angle of _______° in standard position

= ________________

= ________________

= ________________

Lies in Quadrant ______

Reference: __________

Example 18: Draw an angle of _______° in standard position

= ________________

= ________________

= ________________

Lies in Quadrant ______

Reference: __________

Worksheet: “Drawing Angles in Standard Position”

1. 318

442.

9

793.

90

4. 227

405.

9

326.

5

7. 245

8. 1388