FST Section 4.3.  What is Forest Gump’s Facebook password?  1forest1.

Slides:



Advertisements
Similar presentations
Trigonometry Math is beautiful. Is it? Well, if its not nice, than its damn sure of a very B.I.G. *HELP*.
Advertisements

The arc length spanned, or cut off, by an angle is shown next:
Objective: Convert between degrees and radians. Draw angles in standard form. Warm up Fill in the blanks. An angle is formed by two_____________ that have.
2.1 Angles and Their Measures
Angles and Their Measure Section 3.1. Objectives Convert between degrees, minutes, and seconds (DMS) and decimal forms for angles. Find the arc length.
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.
Pg. 472 Homework Pg. 324#70 – 76 all #1ɣ = 68°, b = 3.88, c = 6.61 #2α = 35.97°, ɣ = 34.03°, c = 4.76 #3 = °, b = 27.55, c = #4No triangle.
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 1.1 Radian and Degree Measure Pages
The World’s Largest Ferris Wheel
Applications of Radian Measure Trigonometry Section 3.2.
Converting between Degrees and Radians: Radian: the measure of an angle that, when drawn as a central angle of a circle, would intercept an arc whose.
13-3: Radian Measure Radian Measure There are 360º in a circle The circumference of a circle = 2r. So if the radius of a circle were 1, then there a.
Keystone Geometry 1 Area and Circumference of a Circle.
Section 3.5 Velocities.
Section 5.2 – Central Angles and Arcs Objective To find the length of an arc, given the central angle Glossary Terms Arc – a part of a circle Central angle.
Geometric Representation of Angles.  Angles Angles  Initial Side and Standard Position Initial Side and Standard Position.
Advanced Algebra II Advanced Algebra II Notes 10.2 continued Angles and Their Measure.
Copyright © 2011 Pearson Education, Inc. Radian Measure, Arc Length, and Area Section 1.2 Angles and the Trigonometric Functions.
Radian Measure. Many things can be measured using different units.
Arc Lengths, Sectors, and Rotational Speeds Dr. Shildneck Fall, 2014.
Introduction to Unit Circle Trigonometry 1. The Unit Circle on the Coordinate Plane (1,0) (0,1) (-1,0) (0, -1) Quadrant I X – Pos Y - Pos X Y Radius =
Warm-Up Find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦
Geometry 1 Area and Circumference of a Circle. Central Angle A central angle is an angle whose vertex is at the center of the circle. 2 The measure of.
Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal.
Slide Radian Measure and the Unit Circle. Slide Radian Measure 3.2 Applications of Radian Measure 3.3 The Unit Circle and Circular Functions.
13-3 Radian Measure Today’s Objective: I can measure an angle in radians.
Arc length & area of a sector
Section 6.1 Radian Measure
Section 6.1 Notes Special Angles of the Unit Circle in degrees and radians.
Which of the following angles equals 2p radians?
And because we are dealing with the unit circle here, we can say that for this special case, Remember:
Radian Measure of a Circle another way to measure angles!
RADIAN THE UNIT CIRCLE. REMEMBER Find the circumference of a circle that has a radius of 1. C = 2πr C = 2π(1) C = 2π.
Radians Introduction and Conversion of Angles. Mathematicians use a unit of measurement called radians to measure angles. Why you ask? Degrees & radians.
Arc Length Start with the formula for radian measure … … and multiply both sides by r to get … Arc length = radius times angle measure in radians.
Computing the Values of Trigonometric Functions of Acute Angles Section 3.3.
Section 2.1 Angles and Their Measure. Sub-Units of the Degree: “Minutes” and “Seconds” (DMS Notation)
Copyright © Cengage Learning. All rights reserved. CHAPTER Radian Measure 3.
Today in Precalculus Turn in graded worksheet Notes: Simulating circular motion – Ferris Wheels Homework.
Unit 1 – Degrees Decimals and Degrees, Minutes, Seconds (DMS) Conversions, and Unit Conversions -You will be able to convert from degrees decimals to degrees,
Rotation Around a Point. A Rotation is… A rotation is a transformation that turns a figure around a fixed point called the center of rotation. A rotation.
Implicit Differentiation Notes 3.7. I. Implicit Form A.) B.) Ex. – C.) Ex. - Find the derivative!
Section 6-2 Linear and Angular Velocity. Angular displacement – As any circular object rotates counterclockwise about its center, an object at the edge.
Copyright © Cengage Learning. All rights reserved. CHAPTER Right Triangle Trigonometry Right Triangle Trigonometry 2.
Rotational Motion.
MATHPOWER TM 12, WESTERN EDITION Chapter 4 Trigonometric Functions 4.1.
12.2 – Angles and Angle Measure. Standard Position – when the vertex of the angle is at the origin and one ray is on the positive x-axis. Initial Side.
 Think back to geometry and write down everything you remember about angles.
Trigonometry Section 7.2 Calculate arclengths and areas of a sectors Note: The arclength and the area of the sector are a fraction of the circumference.
MATH 1330 Section 4.2 Radians, Arc Length, and Area of a Sector.
FST Section 4.1. Tate lives three miles from school. He decided to ride his bicycle to school one nice day. If the front wheel turned at an average speed.
1 The line from the center sweeps out a central angle  in an amount time t, then the angular velocity, (omega) Angular Speed: the amount of rotation per.
EQ: How do you convert from degrees to radians and from radians to degrees? Demonstrated in writing in performance task (Unit 5 Task 2). WARM UP Create.
Slide Radian Measure and the Unit Circle. Slide Radian Measure 3.2 Applications of Radian Measure 3.3 The Unit Circle and Circular Functions.
Radian application Problems What is angular speed? How is it used to solve problems? What t is linear speed?
Section 3-4 Radian Measures of Angles. Definition: Radian Measure of an Angle.
MATHPOWER TM 12, WESTERN EDITION Chapter 4 Trigonometric Functions 4.1.
Chapter 7 Section 1.
Area and Circumference of a Circle
16.2 Arc Length and Radian Measure
Chapter 2 Section 1.
Section 6.1 Radian and Degree Measure
Chapter 2 Section 1.
Section 2 –Linear and Angular Velocity
Bell Ringer A charged object is hanging from the ceiling being repelled by another charged object, also hanging from the ceiling. One has a charge of.
13-3 – Radian Measures.
( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , )
THE SINE AND COSINE FUNCTIONS
Linear and Angular Speed
Presentation transcript:

FST Section 4.3

 What is Forest Gump’s Facebook password?  1forest1

 How many degrees is one radian?  In-class Activity, p 244

Complete the following table for points on the unit circle with the given angle of rotation (No calculator): θ

θ

θ

Suppose you are sitting in a Ferris wheel that has 12 spokes from which hang its seats. If the radius of the Ferris wheel is 17 feet and the center of the Ferris wheel is 20 feet above the ground, how high is the seat off the ground as you travel around the wheel?

 Page #1 –20