BellworkGet a calculator then do the question below.

Express in radians per second:

6 revolutions per second

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10.21.19Module 3: Trigonometric Functions

Lesson 4.2: The Unit Circle

Page 508

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The Unit Circle

Completing the Unit Circle

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The Unit Circle

Completing the Unit Circle

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Fill in the missing Radian measures

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Angles in Degrees and Radians

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Coordinates on a Unit Circle

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Coordinates on a Unit Circle

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Coordinates on a Unit Circle

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60 degrees

Coordinates on a Unit Circle

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Fill in the remaining coordinatesUse the reference angles of 30, 45, and 60 degrees to write the coordinates of all the special angles in the unit circle.

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Coordinates of special angles in the Unit Circle

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Definitions of six trigonometric functions

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ExampleFind sin(600)

Solution:

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Example

Find csc(600)

Solution:

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Example

Find tan(600), and cot(600)

Solution:

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You TryFind cos(600) and sec(600)

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Practice: complete on a separate sheet

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What if a value is not on the Unit Circle?Recall: Coterminal Angles

These were found by adding or subtracting 3600 (2π)

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Example

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You Try

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Example

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4.2 supplement worksheetCheck online

Do: #1-26 you may use the Unit Circle

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