Goal Apply the identities for the cosine and

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Goal: Apply the identities for the cosine and sine of a difference or sum.

Goal: Apply the identities for the cosine and sine of a difference or sum. 5. 3 Sum and Difference Identities Copyright © 2011 Pearson, Inc.

What you’ll learn about n n Cosine of a Difference Cosine of a Sum

What you’ll learn about n n Cosine of a Difference Cosine of a Sum Sine of a Difference or Sum Verifying a Sinusoid Algebraically … and why These identities provide clear examples of how different the algebra of functions can be from the algebra of real numbers. Copyright © 2011 Pearson, Inc. Slide 5. 3 - 2

Exploration Ø Ø Ø Use your calculator to determine if the following statements are

Exploration Ø Ø Ø Use your calculator to determine if the following statements are true or false. Verify your findings with your team. Be ready to share with the class. Copyright © 2011 Pearson, Inc. Slide 5. 3 - 3

Sine and Cosine of a Sum or Difference Copyright © 2011 Pearson, Inc. Slide

Sine and Cosine of a Sum or Difference Copyright © 2011 Pearson, Inc. Slide 5. 3 - 4

#1 Expand simplify. Copyright © 2011 Pearson, Inc.

#1 Expand simplify. Copyright © 2011 Pearson, Inc.

#2 Copyright © 2011 Pearson, Inc. Expand simplify.

#2 Copyright © 2011 Pearson, Inc. Expand simplify.

#3 Copyright © 2011 Pearson, Inc. Expand simplify.

#3 Copyright © 2011 Pearson, Inc. Expand simplify.

#4 Copyright © 2011 Pearson, Inc. Expand simplify.

#4 Copyright © 2011 Pearson, Inc. Expand simplify.

Copyright © 2011 Pearson, Inc.

Copyright © 2011 Pearson, Inc.

Copyright © 2011 Pearson, Inc.

Copyright © 2011 Pearson, Inc.

#7 Write in a simpler way. (No Calculator) Copyright © 2011 Pearson, Inc.

#7 Write in a simpler way. (No Calculator) Copyright © 2011 Pearson, Inc.

#8 Write in a simpler way. (No Calculator) Copyright © 2011 Pearson, Inc.

#8 Write in a simpler way. (No Calculator) Copyright © 2011 Pearson, Inc.

Example Using the Sum and Difference Formulas Copyright © 2011 Pearson, Inc. Slide 5.

Example Using the Sum and Difference Formulas Copyright © 2011 Pearson, Inc. Slide 5. 3 - 13

Tangent of a Difference of Sum Copyright © 2011 Pearson, Inc. Slide 5. 3

Tangent of a Difference of Sum Copyright © 2011 Pearson, Inc. Slide 5. 3 - 14

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