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13-2 Angles and Angle Measure

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1 13-2 Angles and Angle Measure
Objective: To find values of trigonometric functions for acute angles. To solve problem involving right triangles.

2 Vocabulary Initial Side Terminal Side Standard Position Radian
Unit Circle

3 Vocabulary On a coordinate plane, an angle may be generated by the rotation of two rays that share a fixed endpoint at the origin.

4 Vocabulary One ray, called the initial side of the angle, is fixed along the positive x-axis.

5 Vocabulary The other ray, called the terminal side of the angle, can rotate about the center.

6 Vocabulary An angle positioned so that its vertex is at the origin and its initial side is along the positive x-axis is said to be standard position.

7 Angle Measure The measure of an angle is determined by the amount of rotation from the initial side to the terminal side. Counterclockwise is positive. Clockwise is negative.

8 Angle Measure When the terminal sides rotate, they may sometimes make one or more revolutions.

9 Unit Circle

10 Unit Circle

11 Example 1 Change each degree measure to radian measure.

12 Example 3 Find one positive and one negative angle that are coterminal with each angle.

13 Assignment 13-2 pg 784 #20-40 even


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