Copyright © 2011 Pearson, Inc. 4.2 Trigonometric Functions of Acute Angles.

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 © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 401 Identify the graph of each function. 1.
Copyright © 2009 Pearson Addison-Wesley Acute Angles and Right Triangle.
MTH 112 Elementary Functions Chapter 5 The Trigonometric Functions Section 3 – Trigonometric Functions of Any Angle.
Drill Calculate:.
Copyright © 2011 Pearson, Inc. 4.3 Trigonometry Extended: The Circular Functions.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.2 Right Triangle Trigonometry.
4.4 Trigonometric Functions of any Angle Objective: Students will know how to evaluate trigonometric functions of any angle, and use reference angles to.
1 7.3 Evaluating Trig Functions of Acute Angles In this section, we will study the following topics: Evaluating trig functions of acute angles using right.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 366 Find the values of all six trigonometric functions.
5 Trigonometric Functions Copyright © 2009 Pearson Addison-Wesley.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 356 Convert from DMS to decimal form. 1.
Pre-AP Pre-Calculus Chapter 4, Section 2 Trigonometric Functions of Acute Angles
5.3 Right-Triangle-Based Definitions of Trigonometric Functions
Copyright © 2005 Pearson Education, Inc.. Chapter 2 Acute Angles and Right Triangles.
13.2 – Define General Angles and Use Radian Measure.
Sec 6.2 Trigonometry of Right Triangles Objectives: To define and use the six trigonometric functions as ratios of sides of right triangles. To review.
Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Trigonometric Functions Section 4.2a Homework: p odd.
Copyright © 2011 Pearson, Inc. 4.7 Inverse Trigonometric Functions.
Copyright © 2009 Pearson Addison-Wesley Trigonometric Functions.
Tuesday 3/24. Warm Up Determine the six trigonometric ratios for the following triangle: y r x θ sin θ =csc θ = cos θ =sec θ = tan θ =cot θ = What if.
Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Copyright © 2009 Pearson Addison-Wesley Acute Angles and Right Triangle.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 Thursday! Check your work please against the solution set! Enter your score on the score sheet in.
Copyright © 2011 Pearson, Inc. 4.3 Trigonometry Extended: The Circular Functions Goals: Solve problems involving trigonometric functions. Memorize the.
+ 4.4 Trigonometric Functions of Any Angle *reference angles *evaluating trig functions (not on TUC)
Trigonometric Functions: The Unit Circle & Right Triangle Trigonometry
Objective: For students to be able to identify the quadrant in which the terminal side of a 1100 degree angle lies. Standards: G-SRT 6 HW: p. 58, 5, 7,
Copyright © 2011 Pearson, Inc. 4.3 Trigonometry Extended: The Circular Functions.
Trig/Precalculus Section 5.1 – 5.8 Pre-Test. For an angle in standard position, determine a coterminal angle that is between 0 o and 360 o. State the.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 1 Trigonometric Functions.
Section 1.4 Trigonometric Functions an ANY Angle Evaluate trig functions of any angle Use reference angles to evaluate trig functions.
Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT.
Right Triangle Trigonometry
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1.
WARM UP Find the value of the angle θ in degrees:.
Knight’s Charge: Precalculus 41 Right Triangle Trigonometry 1.
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Angles and Radian Measure.
Copyright © 2011 Pearson, Inc. 4.7 Inverse Trigonometric Functions.
MATH 1330 Section 4.3 Trigonometric Functions of Angles.
4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental.
Copyright © 2009 Pearson Addison-Wesley Trigonometric Functions.
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Right Triangle Trigonometry.
Copyright © 2005 Pearson Education, Inc.. Chapter 2 Acute Angles and Right Triangles.
Trigonometric Functions of Acute Angles
Copyright © 2017, 2013, 2009 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Warm Up #8.
Evaluating Trigonometric Functions
Copyright © 2017, 2013, 2009 Pearson Education, Inc.
Trigonometric Functions of Acute Angles
Warm – Up: 2/4 Convert from radians to degrees.
Right Triangle Trigonometry; Applications
5 Trigonometric Functions Copyright © 2009 Pearson Addison-Wesley.
The Inverse Trigonometric Functions (Continued)
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Right Triangle Trigonometry; Applications
Trigonometric Equations
Right Triangle Trigonometry; Applications
Right Triangle Trigonometry
The Inverse Trigonometric Functions (Continued)
Introduction to College Algebra & Trigonometry
Trigonometric Functions of Acute Angles
1.3 – Trigonometric Functions
Trigonometry Extended: The Circular Functions
Sec 6.2 Trigonometry of Right Triangles
Trigonometry Extended: The Circular Functions
Trigonometric Equations
Presentation transcript:

Copyright © 2011 Pearson, Inc. 4.2 Trigonometric Functions of Acute Angles

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Right Triangle Trigonometry Two Famous Triangles Evaluating Trigonometric Functions with a Calculator Applications of Right Triangle Trigonometry … and why The many applications of right triangle trigonometry gave the subject its name.

Copyright © 2011 Pearson, Inc. Slide Standard Position An acute angle θ is in standard position, when one ray is along the positive x-axis, the vertex is at the origin, and the other ray extends into the first quadrant.

Copyright © 2011 Pearson, Inc. Slide Trigonometric Functions

Copyright © 2011 Pearson, Inc. Slide Example Evaluating Trigonometric Functions of 45 º Find the values of all six trigonometric functions for an angle of 45 º.

Copyright © 2011 Pearson, Inc. Slide Example Evaluating Trigonometric Functions of 45 º Find the values of all six trigonometric functions for an angle of 45 º.

Copyright © 2011 Pearson, Inc. Slide Example Evaluating Trigonometric Functions of 60 º Find the values of all six trigonometric functions for an angle of 60º.

Copyright © 2011 Pearson, Inc. Slide Example Evaluating Trigonometric Functions of 60 º Find the values of all six trigonometric functions for an angle of 60º.

Copyright © 2011 Pearson, Inc. Slide Common Calculator Errors When Evaluating Trig Functions Using the calculator in the wrong angle mode (degree/radians) Using the inverse trig keys to evaluate cot, sec, and csc Using function shorthand that the calculator does not recognize Not closing parentheses

Copyright © 2011 Pearson, Inc. Slide Example Solving a Right Triangle

Copyright © 2011 Pearson, Inc. Slide Example Solving a Right Triangle

Copyright © 2011 Pearson, Inc. Slide Quick Review 1. Solve for x. x Solve for x. 6 3 x

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions 1. Solve for x. x Solve for x. 6 3 x

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.