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Section 4.1.  Trigonometry: the measurement of angles  Standard Position: Angles whose initial side is on the positive x-axis 90 º terminal 180 º 0º.

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Presentation on theme: "Section 4.1.  Trigonometry: the measurement of angles  Standard Position: Angles whose initial side is on the positive x-axis 90 º terminal 180 º 0º."— Presentation transcript:

1 Section 4.1

2  Trigonometry: the measurement of angles  Standard Position: Angles whose initial side is on the positive x-axis 90 º terminal 180 º 0º initial vertex 270 º

3 1.) 50º2.) 130º 3.) 260 º 4.) 310º

4 1.) -50º2.) -180º 3.) -240 º 4.) -300º

5  Angles that share the same terminal side  Differ by 360º (or a multiple of 360 ie. 720)  Example 4 vs example 1  To find positive and negative coterminal angles- add and subtract 360 º  1.) 210º2.)-180º3.) 400º

6  Radians are a 2 nd way to measure an angle  Positive and negative radian measures:

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12 1.)2.) 3.) 4.)

13 1.)2.) 3.) 4.)

14  Differ by  To find a positive and negative coterminal angle, add and subtract 1.) 2.) 3.)

15  Degree to radian: Multiply by 1.)2.) 3.)  Radian to degree: Multiply by 1.) 2.) 3.)

16  Complementary angles- angles whose sum = 90  Supplementary angles- angles whose sum = 180 1.) 45 º 2.) 61 º 3.) 100 º

17  Arc length- measures a segment (arc) of a circle  must be in radians  1.) 2.)

18 1.) 2.)


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