Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the...

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Angle and Radian Measures 1 January 08, 2019 Angles and Radian Measures Objectives: • Recognize and use the vocabulary of angles. • Use degree measure. • Use radian measure. • Convert between degrees and radians. • Draw angles in standard position. • Find coterminal angles. • Find the length of a circular arc. • Use linear and angular speed to describe motion on a circular path.

Transcript of Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the...

Page 1: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

Angle and Radian Measures

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Angles and Radian Measures

Objectives:• Recognize and use the vocabulary of angles.• Use degree measure.• Use radian measure.• Convert between degrees and radians.• Draw angles in standard position.• Find coterminal angles.• Find the length of a circular arc.• Use linear and angular speed to describe motion on a circular path.

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Page 3: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Page 4: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Page 5: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Page 6: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Page 7: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Convert each angle in degrees to radians:

a.  60°

b.  270°

c. –300°            

Page 8: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Although we can convert angles in radians to degrees, it is helpful to think in radians without having to make the actual conversion.

Page 9: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Page 10: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Page 11: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Page 12: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Page 13: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Assume the following angles are in standard position. Find a positive angle less than 360° that is coterminal with each of the following:a.  400°  angle

b.  –135° angle

Page 14: Angle and Radian Measures · Angles and Radian Measures Objectives: •Recognize and use the vocabulary of angles. •Use degree measure. •Use radian measure. •Convert between

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Long before iPods that hold thousands of songs and play them with superb audio quality, individual songs were delivered on 75­rpm and 45­rpm circular records.  A 45­rpm record has an angular speed of 45 revolutions per minute.  Find the linear speed, in inches per minute, at the point where the needle is 1.5 inches from the record’s center.

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Due 1/11

Larson Book

Page 255

Vocab Check all

2­28 even, 32­64 even, 78­88 even, 99­101

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Radian and degree measure.

Radian and degree measure.

Lecture 1.3.1 Angles & Radian

Lecture 1.3.1 Angles & Radian

Radian and Degree Measure Objectives: Describe Angles Use Radian and Degree measures.

Radian and Degree Measure Objectives: Describe Angles Use Radian and Degree measures.

Angles and Radian Measure

Angles and Radian Measure

61 Angles and PreCalc/Trig A Radian Measure...Pre Calc/Trig A 6 1 Angles and Radian Measure March 23, 2015 Central Angle: an angle whose vertex lies at the center of the circle Circular

61 Angles and PreCalc/Trig A Radian Measure...Pre Calc/Trig A 6 1 Angles and Radian Measure March 23, 2015 Central Angle: an angle whose vertex lies at the center of the circle Circular

Radian measure. - University of Wisconsin–Eau Claire€¦ · Radian measure Today’s goal is to develop a measure of angles which is less arbitrary. Imagine you are standing on

Radian measure. - University of Wisconsin–Eau Claire€¦ · Radian measure Today’s goal is to develop a measure of angles which is less arbitrary. Imagine you are standing on

Radian Measure - GHCDS: Algebra 2ghcdsalgebra2.weebly.com/uploads/4/0/1/9/40191627/13.2.pdfmeasured in degrees. You can also measure angles in radians. To define a radian, consider

Radian Measure - GHCDS: Algebra 2ghcdsalgebra2.weebly.com/uploads/4/0/1/9/40191627/13.2.pdfmeasured in degrees. You can also measure angles in radians. To define a radian, consider

Radian Measure and Coterminal Angles Take out your homework from Friday!!!

Radian Measure and Coterminal Angles Take out your homework from Friday!!!

Angles and Radian Measure. 4.1 – Angles and Radian Measure An angle is formed by rotating a ray around its endpoint. The original position of the ray.

Angles and Radian Measure. 4.1 – Angles and Radian Measure An angle is formed by rotating a ray around its endpoint. The original position of the ray.

6.1: Angles and their measure January 5, 2008. Objectives Learn basic concepts about angles Apply degree measure to problems Apply radian measure to problems.

6.1: Angles and their measure January 5, 2008. Objectives Learn basic concepts about angles Apply degree measure to problems Apply radian measure to problems.

Part 1: Chapter 4.1: Radian Measuremswilsonmathclass.weebly.com/uploads/2/4/6/7/24673037/ch4.1_4.… · Chapter 4-1: Radian Measure & 4.4: Angles Page 5 of 12 Part 2: Chapter 4.4:

Part 1: Chapter 4.1: Radian Measuremswilsonmathclass.weebly.com/uploads/2/4/6/7/24673037/ch4.1_4.… · Chapter 4-1: Radian Measure & 4.4: Angles Page 5 of 12 Part 2: Chapter 4.4:

Trigonometry, Pt 1: Angles and Their Measure · Measuring Angles in Radians . Measuring Angles in Radians EXAMPLE What is the radian measure 𝜃 for an arc of length 15 inches and

Trigonometry, Pt 1: Angles and Their Measure · Measuring Angles in Radians . Measuring Angles in Radians EXAMPLE What is the radian measure 𝜃 for an arc of length 15 inches and

Chapter 4 4-1 Radian and degree measurement. Objectives O Describe Angles O Use radian measure O Use degree measure and convert between and radian measure.

Chapter 4 4-1 Radian and degree measurement. Objectives O Describe Angles O Use radian measure O Use degree measure and convert between and radian measure.

Radian Measure and Coterminal Angles

Radian Measure and Coterminal Angles

Unit 1 - Radian and Degree Measure – Classwork · Co-terminal angles – angles having ... find the central angle in degrees Example 5: ... Unit 1 - Radian and Degree Measure –

Unit 1 - Radian and Degree Measure – Classwork · Co-terminal angles – angles having ... find the central angle in degrees Example 5: ... Unit 1 - Radian and Degree Measure –

1 13.2 Radian and Degree Measure In this section, we will study the following topics: Terminology used to describe angles Degree measure of an angle Radian.

1 13.2 Radian and Degree Measure In this section, we will study the following topics: Terminology used to describe angles Degree measure of an angle Radian.

5.1: Angles and Radian Measure Date: Pre-Calculus

5.1: Angles and Radian Measure Date: Pre-Calculus

Trigonometric Functions Angles and Radian Measures.

Trigonometric Functions Angles and Radian Measures.

OBJECTIVES: 1. USE A ROTATING RAY TO EXTEND THE DEFINITION OF ANGLE MEASURE TO NEGATIVE ANGLES AND ANGLES GREATER THAN 180°. 2. DEFINE RADIAN MEASURE AND.

OBJECTIVES: 1. USE A ROTATING RAY TO EXTEND THE DEFINITION OF ANGLE MEASURE TO NEGATIVE ANGLES AND ANGLES GREATER THAN 180°. 2. DEFINE RADIAN MEASURE AND.

Trigonometric Functions - University of BabylonTrigonometric Functions This section reviews radian measure and the basic trigonometric functions. Angles Angles are measured in degrees

Trigonometric Functions - University of BabylonTrigonometric Functions This section reviews radian measure and the basic trigonometric functions. Angles Angles are measured in degrees