Coterminal Angles: A Guide to Understanding and Finding Coterminal Angles, Slides of Geometry

Definition: --Same angles with different measures are called coterminal angles. --Coterminal angles have the same initial and terminal sides but are named ...

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2022/2023

Uploaded on 03/01/2023

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Coterminal Angles

Angles in Standard Position

Draw the given angle in standard

position.

2๐œ‹ 3

Draw the given angle in standard

position.

8๐œ‹ 3

5๐œ‹ 4

Definition:

--Same angles with different measures are called coterminal angles. -- Coterminal angles have the same initial and terminal sides but are named differently.

Finding coterminal angles

In degreesโ€”add or subtract 360ยฐ Ex: 150ยฐ In radiansโ€”add or subtract 2๐œ‹ Ex: ๐œ‹ 3

Find a positive angle and negative angle that are coterminal with the given angle.

  1. โˆ’200ยฐ 4. ๐œ‹ 8

Find a positive angle and negative angle that are coterminal with the given angle.

  1. 410ยฐ 6. 5๐œ‹ 4

Which one is not coterminal with the

others?

๐œ‹ 5

49๐œ‹ 5

21๐œ‹ 5

9๐œ‹ 5

11๐œ‹ 5