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The Unit Circle Part I MSpencer. The Unit Circle r = 1 It is called a unit circle because the radius is one unit.

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Presentation on theme: "The Unit Circle Part I MSpencer. The Unit Circle r = 1 It is called a unit circle because the radius is one unit."— Presentation transcript:

1 The Unit Circle Part I MSpencer

2 The Unit Circle r = 1 It is called a unit circle because the radius is one unit.

3 All the Way Around Another way of measuring angles is with radians. Since a revolution is the circumference of a circle and r = 1, C = 2  r = 2  (1) = 2  r = 1 One way to measure angles is with degrees. One revolution around the unit circle constitutes 360°. 2  radians is equivalent to 360°

4 One Revolution r = 1 0°, 0 360°, 2 

5 Multiples of 90°, 0°, 0 360°, 2  180°,  90°, 270°,

6 The Quadrants 0°, 0 360°, 2  180°,  90°, 270°, Q I 0° <  < 90° 0 <  < QII 90° <  < 180° <  <  QIII 180° <  < 270°  <  < QIV 270° <  < 360° <  < 2 

7 Multiples of 45°, 135°, 315°, 45°,225°,

8 Multiples of 60°, 120°, 300°, 60°,240°,

9 Multiples of 30°, 150°, 330°, 30°,210°,

10 The Whole Unit Circle Together (Grouped) 150°, 330°, 30°,210°, 0°, 0 360°, 2  180°,  90°, 270°, 135°, 315°, 45°,225°,120°, 300°, 60°,240°,

11 The Whole Unit Circle Together (In Ascending Order) 150°, 330°, 30°,210°, 0°, 0 360°, 2  180°,  90°, 270°, 135°, 315°, 45°,225°,120°, 300°, 60°,240°,


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