Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 1 Homework, Page 468 Use a sum or difference identity to find an.

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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 1 Homework, Page 468 Use a sum or difference identity to find an exact value. 1.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 2 Homework, Page 468 Use a sum or difference identity to find an exact value. 5.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 3 Homework, Page 468 Use a sum or difference identity to find an exact value. 9.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 4 Homework, Page 468 Write the expression as the sine, cosine, or tangent of an angle. 13.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 5 Homework, Page 468 Write the expression as the sine, cosine, or tangent of an angle. 17.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 6 Homework, Page 468 Write the expression as the sine, cosine, or tangent of an angle. 21.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 7 Homework, Page 468 Prove the identity. 25.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 8 Homework, Page 468 Prove the identity. 29.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 9 Homework, Page 468 Match each graph with a pair of the equations. 33.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 468 Prove the reduction formula. 37.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 468 Prove the reduction formula. 41.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 468 Express the function as a sinusoid in the form y = a sin (bx + c). 45.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 468 Prove the identity. 49.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page 468 Prove the identity. 53.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page If cos A + cos B = 0, then A and B are supplementary angles. False.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework, Page A. B. C. D. E.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 5.4 Multiple-Angle Identities

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide What you’ll learn about Double-Angle Identities Power-Reducing Identities Half-Angle Identities Solving Trigonometric Equations … and why These identities are useful in calculus courses.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Deriving Double-Angle Identities

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Double Angle Identities

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Example Solving a Problem Using double Angle Identities

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Power-Reducing Identities

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Example Reducing a Power of 4

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Half-Angle Identities

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Example Using a Double Angle Identity

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Homework Homework Assignment #13 Read Section 5.5 Page 475, Exercises: 1 – 57 (EOO)

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide What you’ll learn about Deriving the Law of Sines Solving Triangles (AAS, ASA) The Ambiguous Case (SSA) Applications … and why The Law of Sines is a powerful extension of the triangle congruence theorems of Euclidean geometry.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Deriving the Law of Sines

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Law of Sines

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Example Solving a Triangle Given Two Angles and a Side

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Example Finding the Height of a Pole x 15ft 15 º 65 º B A C