1. Unit 7: Angles and Angle Measures
POSITIVE Angle Measure
Counter Clockwise
Standard Position
Initial Side
Terminal
Side
Vertex
NEGATIVE Angle Measure
Clockwise θ

2. Conversion of Radians and Degrees
A unit of measure based on radii of a unit circle.
(1 radian ≈ 57°) Usually given in terms of π.
2π radians = 360°
π radians = 180°
Conversion of Radians and Degrees
Degree Radian
Radians Degrees
Example 1: Converting from Degrees to Radians
[A] 60° [B] 30°
Example 2: Converting from Radians to Degrees
[A] [B]

3. Example 3 DRAW an Angle in Standard Position and STATE the QUADRANT of the coordinate plane of the terminal side
[A] 210°
[B] – 45 °
[C] 540°
[D] – 910°
[E]
[F]

4. COTERMINAL ANGLES:
Two angles in standard form who share the same terminal side (45° and 405°)
How to find coterminal angles: by adding or subtracting multiples of 360° or 2π (Full rotations of circle)
Example 4 Finding Coterminal Angles (2 positive / 2 negative)
[A] 240° [B]
[C] - 50° [D]

5. Unit Circle with Common Measures
Circle of radius = 1
PATTERNS:
Radians:
x’s:
y’s: