5.1 Angles and Degree Measure

Slides:



Advertisements
Similar presentations
Lesson 5-1: Angles and Degree Measure
Advertisements

Objectives: 1.Be able to draw an angle in standard position and find the positive and negative rotations. 2.Be able to convert degrees into radians and.
Quiz 1) Find a coterminal angle to 2) Find a supplement to 3) What is the arcsin(.325) in both radians and degrees?
13.1 Assignment C – even answers 18. sin = 4/1334. B = 53 o cos = a = tan = b = cot = sec = 38. A = 34 o csc = 13/4 b = c =
Merrill pg. 759 Find the measures of all angles and sides
Angles and Radian Measure Section 4.1. Objectives Estimate the radian measure of an angle shown in a picture. Find a point on the unit circle given one.
Section 4.1 Angles and Radian Measure. The Vocabulary of Angles An angle is formed by two rays that have a common endpoint. One ray is called the initial.
Angles and Their Measure Section Angles Vertex Initial Side Terminal Side.
Radian and Degree Measure Objectives: Describe Angles Use Radian and Degree measures.
Unit 1, Lesson 1 Angles and their Measures. What is an angle? Two rays with the same Endpoint.
Advanced Algebra II Advanced Algebra II Notes 10.2 continued Angles and Their Measure.
Warm Up Use Pythagorean theorem to solve for x
1 DMS, Radian, & Coterminal Test Review To convert decimal degrees, DMS, degrees, radians, find coterminal angles, and add, subtract DMS Sam.
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.
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.
3.1 Angles in the Coordinate Plane. Positive We can measure angles in degrees Negative   initial side terminal side 360   once around.
Section 5-1 Angle and Degree Measure. Vocabulary Degree - the measure of an angle that is of a complete rotation in the positive direction. Minute - a.
Parts of an Angle (the fixed side) (the rotating side) alpha – common angle name Each angle above is said to be in the “standard position” – the vertex.
Unit 7: Angles and Angle Measures
{ Reference and Coterminal Angles By Henry Burke.
Warm up Change angle to degrees Change angle to degrees, minutes and seconds.
5-1 Angles and Degree Measure. Give the angle measure represented by each rotation. a)5.5 rotations clockwise b)3.3 rotations counterclockwise.
4.2 Degrees and Radians Objectives: Convert degree measures of angles to radian measures Use angle measures to solve real-world problems.
Lesson 5-1 Angles and Degree Measure Objective: To convert decimal degrees to measure degrees. To find the number of degrees in a given number of rotations.
Table of Contents 1. Angles and their Measures. Angles and their Measures Essential question – What is the vocabulary we will need for trigonometry?
Warm Up List all multiples of 30° angles from 0° to 360 ° on Circle #1. List all multiples of 45 ° angles from 0° to 360 ° on Circle # 2. 30°, 60°, 90°,
Drawing Angles in Standard Position
Unit 1 : Introduction to Trigonometry
Degrees and Radians Pre-Calculus Keeper 11.
Radian and Degree Measure
Objective: Polar coordinate system. Coordinate conversion.
Quadrants: Quarters on a coordinate plane
5.2 Understanding Angles terminal arm q initial arm standard position
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section5.1 Angles and Their Measure
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.
9.3B Notes: Angle conversions
Chapter 1 Trigonometric Functions.
EXAMPLE 3 Find reference angles
Radian and Degree Measure
Two angles in standard position that share the same terminal side.
Chapter 4: Lesson 4.1 Radian & Degrees
Convert degree measures of angles to radian measures, and vice versa.
Radian Measure and Coterminal Angles
Unit 4, Day 1 Circular Trig.
Circular Trig.
Warm Up How’d the test go? Better? Worse?
17-1 Angles of Rotation and Radian Measure
6.1 Radian and Degree Measure
Radian and Degree Measure
The game of Standard Position
Lesson 5-1: Angles and Degree Measure
6.1 Radian and Degree Measure
Angles and Their Measures
Unit Circle 1 (0,0) Center: Radius: -1.
Angles and Radian Measure
Reference and Coterminal Angles
Define General Angles and Radian Measure
13.2A General Angles Alg. II.
Welcome to Trigonometry!
Chapter 5 – Trigonometric Functions
Reference and Coterminal Angles
Mrs. Volynskaya Pre-Calculus 4.1 Radian and Degree Measure
Standard Position, Coterminal and Reference Angles
1 Trigonometric Functions.
Section 4.1 Angles and Their Measure
9.2 Angle and Radian Measure
13-2 Angles and Angle Measure
Conversions, Angle Measures, Reference, Coterminal, Exact Values
Do Now Classify the following angles as obtuse, right, straight, or acute
Presentation transcript:

5.1 Angles and Degree Measure Objective: Convert decimal degree measures to degrees, minutes, and seconds and vice versa. Find the number of degrees in a given number of rotations. Identify angles that are coterminal with a given angle.

Identify all angles that are coterminal with each angle Identify all angles that are coterminal with each angle. Then find one positive angle and one negative angle that are coterminal with the angle. a) 45° b) 225°

If each angle is in standard position, determine a coterminal angle that is between 0° and 360°. State the quadrant in which the terminal side lies. a) 775° b) -1297°

Assignment 5.1 Practice Worksheet #1-13 5.1 pg 281-282 #18, 24, 30, 34, 44, 46, 48, 51, 52, 56, 58