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 transcript:

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°

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

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

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

Quadrants x y I IVIII II

Examples Name the Quadrant in which the terminal ray lies ° ° ° ° Quadrant II Quadrant III Quadrant IV

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

Examples Convert each angle to radians ° ° 10. –15°

= – 45° = 135° = 150°

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