Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 439 Chapter Review Determine the quadrant of the.

Slides:



Advertisements
Similar presentations
Quick Review Solutions. Why 360 º ? Navigation In navigation, the course or bearing of an object is sometimes given as the angle of the line of travel.
Advertisements

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 1-1 Angles 1.1 Basic Terminology ▪ Degree Measure ▪ Standard Position ▪ Coterminal Angles.
Warm Up Find the measure of the supplement for each given angle °2. 120° °4. 95° 30°60° 45° 85°
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.
Review of Trigonometry
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 401 Identify the graph of each function. 1.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 1.
© 2010 Pearson Education, Inc. All rights reserved.
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide
© 2010 Pearson Education, Inc. All rights reserved.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide
Copyright © 2005 Pearson Education, Inc. Chapter 3 Radian Measure and Circular Functions.
4.1: Radian and Degree Measure Objectives: To use radian measure of an angle To convert angle measures back and forth between radians and degrees To find.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 366 Find the values of all six trigonometric functions.
The World’s Largest Ferris Wheel
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1.
Copyright © 2003 Pearson Education, Inc. Slide Radian Measure, Arc Length, and Area Another way to measure angles is using what is called radians.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 356 Convert from DMS to decimal form. 1.
Copyright © 2007 Pearson Education, Inc. Slide 8-2 Chapter 8: Trigonometric Functions And Applications 8.1Angles and Their Measures 8.2Trigonometric Functions.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 392 Find the amplitude of the function and use.
Unit 8 Trigonometric Functions Radian and degree measure Unit Circle Right Triangles Trigonometric functions Graphs of sine and cosine Graphs of other.
Chapter 5 Review. Check out your clicker 1.I really like math 2.Statistics would be better 3.I want an A 4.I have Senior-it is 5.Are we done yet?
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 421 Find the exact value. 1.
Copyright © 2005 Pearson Education, Inc.. Chapter 6 Inverse Circular Functions and Trigonometric Equations.
Copyright © 2011 Pearson Education, Inc. Radian Measure, Arc Length, and Area Section 1.2 Angles and the Trigonometric Functions.
Math III Accelerated Chapter 13 Trigonometric Ratios and Functions 1.
Chapter 13: Trigonometric and Circular Functions Section 13-2: Measurement of Arcs and Rotations.
Slide 8- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Copyright © 2005 Pearson Education, Inc.. Chapter 2 Acute Angles and Right Triangles.
Copyright © 2005 Pearson Education, Inc.. Chapter 2 Acute Angles and Right Triangles.
1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 4 Trigonometric Functions.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 1.
Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley. Chapter 4 Applications of the Derivative.
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 1 Functions.
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.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 411 Graph the function from -2π ≤ x ≤ 2π. State.
Chapter 4 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Trigonometric Functions: The Unit Circle.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 381 Identify the one angle that is not coterminal.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 1.6 Trigonometric Functions.
Raffle Game , 4.8 Review. Problem 1 Convert to degrees.
Copyright © 2011 Pearson, Inc. 4.1 Angles and Their Measures.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1.
Slide 9- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
How do we convert angle measures between degrees and radians?
MATHPOWER TM 12, WESTERN EDITION Chapter 4 Trigonometric Functions 4.1.
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Angles and Radian Measure.
Radian Measure That was easy
Radians and Angles. Angle-formed by rotating a ray about its endpoint (vertex) Initial Side Starting position Terminal Side Ending position Standard Position.
Chapter 4 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Angles and Radian Measure.
Chapter 4 Review. E.C.#1 Sketch and give two coterminal angles to: a. b.
Tonight’s Homework Memorize all Trig stuff!! Pg. 367#9 – 24 all.
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Angles and Radian Measure.
Angles and Their Measure Section 4.1 Objectives I can label the unit circle for radian angles I can determine what quadrant an angle is in I can draw.
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Trigonometric Functions of Real Numbers; Periodic Functions.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Chapter 1 Angles and The Trigonometric Functions
1.2 Radian Measure, Arc Length, and Area
Angles and Their Measure
Copyright © 2017, 2013, 2009 Pearson Education, Inc.
Warm Up Find the inverse in expanded form: f x =−4+
Preliminaries 0.1 THE REAL NUMBERS AND THE CARTESIAN PLANE 0.2
Trigonometric Functions:
Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. 3) Write the degree.
Presentation transcript:

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 439 Chapter Review Determine the quadrant of the terminal side of an angle in standard position. Convert degree measures to radians and radian measures to degrees. 1.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 2 Homework, Page 439 Chapter Review Determine the quadrant of the terminal side of an angle in standard position. Convert degree measures to radians and radian measures to degrees. 5.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 3 Homework, Page 439 Chapter Review Determine the angle measure in both degrees and radians. Draw the angle in standard position if its terminal side is obtained as described. 9.A three-quarters counterclockwise rotation

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 4 Homework, Page 439 Chapter Review The point is on the terminal side of an angle in standard position. Give the smallest positive angle measure in both radians and degrees. 13.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 5 Homework, Page 439 Chapter Review Evaluate the expression exactly without a calculator. 17.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 6 Homework, Page 439 Chapter Review Evaluate the expression exactly without a calculator. 21.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 7 Homework, Page 439 Chapter Review Evaluate the expression exactly without a calculator. 25.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 8 Homework, Page 439 Chapter Review Evaluate exactly all six trigonometric functions of the angle. 29.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 9 Homework, Page 439 Chapter Review 33.Find all six trigonometric functions of α in ΔABC.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review 37.Solve for x in radians

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Solve the right ΔABC. 41.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review x is an angle in standard position with. Determine the quadrant of x. 45.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Point P is on the terminal side of angle θ. Evaluate the six trigonometric functions for θ. 49.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Use transformations to describe how the graph of the function is related to a basic trigonometric graph. Graph two periods. 53.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Use transformations to describe how the graph of the function is related to a basic trigonometric graph. Graph two periods. 57.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review State the amplitude, period, phase shift, domain, and range of the sinusoid. 61.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review State the amplitude, period, phase shift, domain, and range of the sinusoid. 65.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Evaluate the expression, in both degrees and radians. 69.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Use transformations to describe how the graph of the function is related to a basic inverse trigonometric graph. State the domain and range. 73.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Find the exact value of x without using a calculator. 77.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Find the exact value of x without using a calculator. 81.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Evaluate the expression without a calculator. 85.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review Determine whether the function is periodic. State the period, if applicable, the domain, and the range. 89.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review 93.Find the length of the arc intercepted by a central angle of 2π/3 rad in a circle of radius 2

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review 97.From the top of a 150-ft tall building, Flora watches a car moving towards her. If the angle of depression changes from 18º to 42º during the observation, how far does the car travel?

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review 101.On flat ground, 62–ft from the base of a tree, the angle of elevation of the tree top is 72º24‘. What is the height of the tree?

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 439 Chapter Review 105.The average daily air temperature (ºF) in Fairbanks from 1975 to 2004 can be modeled by the equation where x is time in days with x = 1 representing January 1. On what days do you expect the average temperature to be 32ºF? On days 123 (May 3) and 287 (October 14), we would expect the average temperature to be 32ºF.