9. 2 parts of the angle
1. Initial Side
2. Terminal Side
10. 2 parts of the angle
1. Initial Side
2. Terminal Side
11. 2 parts of the angle
1. Initial Side
2. Terminal Side
12. Initial Side
- The stationary
ray that lies on
along the positive
x-axis.
13. Terminal Side
- The ray that
moves clockwise
and counter
clockwise from the
initial side.
14. Angle on Standard Position
• An angle is in standard position if its
vertex coincides with the origin of
the coordinate plane and its initial
side coincides with the positive x –
axis.
16. • Positive angles are generated by
counterclockwise rotations and
negative angles are generated by
clockwise rotations.
• Angles are often named by Greek
letters such as α (Alpha), β (Beta), θ
(Theta)
20. To find a coterminal angle,
• Use the formula:
Where:
θ1 is the coterminal angle
θ is the given angle
n is the number of positive or
negative revolutions
n3601
revolutions
21. Example:
• Find one positive after one revolution and one
negative coterminal after 2 revoltuions of 45
degrees.
27. Angle Location
• If the terminal side of an angle in
standard position coincides with a
coordinate axis, then the angle is
called a quadrantal angle.
30. A. Sketch the following angles in
standard position. (3 pts. each)
1. -115°
2. 75°
B. Tell the location of each angle. (2
pts. each)
1. 70°
2. 195°
31. C. Find the coterminal angles of the ff.
by adding two positive and one
negative revolution. (2 pts. each)
1. 350° __________ __________
2. - 25° __________ __________
3. 125° __________ __________
4. - 76° __________ __________
5. 80° __________ __________
32. Answer key for C
• 1070, -10
• 695, -385
• 845, -235
• 644, -436
• 800, -280
33. Assignment:
Note: One revolution = 360°
1. Sketch the angle in standard
position: ¾ revolution (5 pts.)
2. Tell the location of the angle in
standard position: -(3/5)
revolution. (5 points)
3. Bring a protractor tomorrow.