Conversion from and to Degrees, Radians, and Revolutions

Slides:

Advertisements

Similar presentations

What is similar about these objects?

Advertisements

What is similar about these objects?

Chapter 4: Circular Functions Lesson 1: Measures of Angles and Rotations Mrs. Parziale.

Radians and Angles Welcome to Trigonometry!! Starring The Coterminal Angles Supp & Comp Angles The Converter And introducing… Angles Rad Radian Degree.

5.1 Angles and Degree Measure. Angle- formed by rotating a ray about its endpoint (vertex) Initial Side Starting position Terminal SideEnding position.

AAT-A 4/25/14 Obj: SWBAT convert from degrees to radians and vice versa. Agenda Bell Ringer: Inquiry: Angle measure HW Requests: Comments on ACT Turn in.

4.1 Radian and Degree Measure I. Angles (2 rays: an Initial side & a Terminal side). A) Initial side = the starting ray of the angle. 1) It is on the +

Trigonometry The science of studying angle measure.

Objectives Change from radian to degree measure, and vice versa Find angles that are co-terminal with a given angle Find the reference angle for a given.

1 Section T1- Angles and Their Measure In this section, we will study the following topics: Terminology used to describe angles Degree measure of an angle.

Radians and Degrees. What the heck is a radian? The radian is a unit of angular measure defined such that an angle of one radian subtended from the center.

Warm-Up 3/26 Fahrenheit. Rigor: You will learn how to convert from degrees to radians and radians to degrees. Relevance: You will be able to solve real.

Rotation On a coordinate grid. For a Rotation, you need An angle or fraction of a turn –Eg 90° or a Quarter Turn –Eg 180° or a Half Turn A direction –Clockwise.

Chapter 4-1: Measures of Angles as Rotations. Review… Angle: The union of two rays which are its sides with the same vertex or endpoint. Angle: The rotation.

Radians and Angles. Angle-formed by rotating a ray about its endpoint (vertex) Initial Side Starting position Terminal Side Ending position Standard Position.

Section 4.1. Radian and Degree Measure The angles in Quadrant I are between 0 and 90 degrees. The angles in Quadrant II are between 90 and 180 degrees.

Trigonometry Section 7.1 Find measures of angles and coterminal angle in degrees and radians Trigonometry means “triangle measurement”. There are two types.

Measures of Angles and Rotations. Vocabulary Degrees  360 degrees makes a full circle  270 degrees makes a three quarter circle  180 degrees makes.

Lesson 13.2 Define General Angles and Use Radian Measure.

Part 1.  We interpret an angle as a rotation of the ray R 1 onto R 2.  An angle measure of 1 degree is formed by rotating the initial side th of a complete.

Chapter 7: Trigonometric Functions Section 7.1: Measurement of Angles.

6.1 Radian and Degree Measure

Warm Up Find the measure of the supplement for each given angle.

Section 4.1A Trigonometry (Degrees and Radians)

Welcome to Trigonometry!!

Grade Homework HW 13.2A Answers.

Unit 1 : Introduction to Trigonometry

Radian and Degree Measure

Quadrants: Quarters on a coordinate plane

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Math Angles Note 1 Definition: An angle is created when a half-ray (initial side) is rotated around a point (the vertex) and stops at a new.

Coterminal Angles.

Radian and Degree Measure

6.1 Radian and Degree Measure

Radian Measure and Coterminal Angles

Terms to know going forward

Unit 4, Day 1 Circular Trig.

Warm Up How’d the test go? Better? Worse?

4.1 Radian and Degree measure

Copyright © Cengage Learning. All rights reserved.

Copyright © Cengage Learning. All rights reserved.

17-1 Angles of Rotation and Radian Measure

6.1 Radian and Degree Measure

Warm Up Find the inverse in expanded form: f x =−4+

Radian Measure of a Central Angle

Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. Simplify.

6.1 Radian and Degree Measure

Review for the Angle Quiz

Angles and Angle Measure

Rotations Unit 10 Notes.

Rotation On Cartesian grid.

Radian and Degree Measure

Section T1- Angles and Their Measure

Angles and Radian Measure

Success Starter for 8/23/17 Rotate A(12, -4) 180 degrees.

Angles and Their Measure

Rotation On a coordinate grid.

4.1 Radian and Degree measure

Copyright © Cengage Learning. All rights reserved.

EQ: What are the methods we use for measuring angles?

Mrs. Volynskaya Pre-Calculus 4.1 Radian and Degree Measure

Radian and Degree Measure

Standard Position, Coterminal and Reference Angles

13-2 Angles and Angle Measure

Note Pages 7 – 10.

4.3 Vocabulary Remember…Transformation, Preimage, Image,

Presentation transcript:

Conversion from and to Degrees, Radians, and Revolutions Angles of Rotation and Conversion from and to Degrees, Radians, and Revolutions

+ Measures of Angles and Rotations The measure of an angle is a number that represents the size and direction of rotation used to generate the angle. Counterclockwise (ccw.) rotations are positive angles. Clockwise (cw.) rotations are negative angles. +

_ Measures of Angles and Rotations The measure of an angle is a number that represents the size and direction of rotation used to generate the angle. Counterclockwise (ccw.) rotations are positive angles. Clockwise (cw.) rotations are negative angles. _

Measures of Angles and Rotations The measure of an angle is a number that represents the size and direction of rotation used to generate the angle. Counterclockwise (ccw.) rotations are positive angles. Clockwise (cw.) rotations are negative angles.

Measures of Angles and Rotations The measure of an angle is a number that represents the size and direction of rotation used to generate the angle. Counterclockwise (ccw.) rotations are positive angles. Clockwise (cw.) rotations are negative angles.

Convert 100 degrees to radians. Example 1 Convert 100 degrees to radians.

Convert 100 degrees to radians. Example 1 Convert 100 degrees to radians.

Convert 100 degrees to radians. Example 1 Convert 100 degrees to radians.

Convert 100 degrees to radians. Example 1 Convert 100 degrees to radians.

Convert 100 degrees to radians. Example 1 Convert 100 degrees to radians.

Convert 1 radian to degrees. Example 2 Convert 1 radian to degrees.

Convert 1 radian to degrees. Example 2 Convert 1 radian to degrees.

Convert 1 radian to degrees. Example 2 Convert 1 radian to degrees.

Convert 1 radian to degrees. Example 2 Convert 1 radian to degrees.

Convert 1 radian to degrees. Example 2 Convert 1 radian to degrees.

Convert revolution clockwise to radians. Example 3 Convert revolution clockwise to radians.

Convert revolution clockwise to radians. Example 3 Convert revolution clockwise to radians.

Convert revolution clockwise to radians. Example 3 Convert revolution clockwise to radians.

Convert revolution clockwise to radians. Example 3 Convert revolution clockwise to radians.

The angles marked below are called “special angles”. Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

All the way around is 2 radians Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

One half way around is  radians Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

Half of the way to  is 360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

One quarter of the way to  is Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

Three quarters of the way to  is Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

360o 2 Image source: The Python Game Book. Horst Jens, etc., n.d. Web. 25 Feb. 2013. <http://thepythongamebook.com/en:pygame:step017>.

Conversion from and to Degrees, Radians, and Revolutions Angles of Rotation and Conversion from and to Degrees, Radians, and Revolutions