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Warm Up List all multiples of 30° angles from 0° to 360 ° on Circle #1. List all multiples of 45 ° angles from 0° to 360 ° on Circle # 2. 30°, 60°, 90°,

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Presentation on theme: "Warm Up List all multiples of 30° angles from 0° to 360 ° on Circle #1. List all multiples of 45 ° angles from 0° to 360 ° on Circle # 2. 30°, 60°, 90°,"— Presentation transcript:

1 Warm Up List all multiples of 30° angles from 0° to 360 ° on Circle #1. List all multiples of 45 ° angles from 0° to 360 ° on Circle # 2. 30°, 60°, 90°, 120°, 150°, 180°, 210°, 240°, 270°, 300°, 330°, 360° 45°, 90°, 135°, 180°, 225°, 270°, 315°, 360°

2 Section 4.1 Angles and Their Measure Parts of an Angle The initial ray is fixed The terminal ray rotates Vertex Initial Ray Terminal Ray

3 Standard Position of an Angle vertex is at the origin initial ray is on positive side of x-axis x y

4 Positive angle terminal ray moves in a counter- clockwise rotation. Negative angle moves in a clockwise rotation.

5 Quadrants x y I IVIII II

6 Examples Name the Quadrant in which the terminal ray lies. 1. 112° 2. 216° 3. 310° 4. 350° Quadrant II Quadrant III Quadrant IV

7 Name the Quadrant in which the terminal ray lies. 5. 402° 6. –25° 7. –117° Quadrant I Quadrant IV Quadrant III

8

9 Examples Convert each angle to radians. 8. 60° 9. 300° 10. –15°

10 = – 45° = 135° = 150°

11 Classwork/Homework… 4.1 Practice Worksheet – #’s 1-24 all


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