Section 7 1 The Inverse Sine Cosine and

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Section 7. 1 The Inverse Sine, Cosine, and Tangent Functions Copyright © 2013 Pearson

Section 7. 1 The Inverse Sine, Cosine, and Tangent Functions Copyright © 2013 Pearson Education, Inc. All rights reserved

Objectives • Find the exact value of an inverse sine function. • Find an

Objectives • Find the exact value of an inverse sine function. • Find an approximate value of an inverse sine function. • Use properties of Inverse functions to find exact values of certain composite functions. • Find the inverse function of a trigonometric function. • Solve equations involving inverse trigonometric functions. Copyright © 2013 Pearson Education, Inc. All rights reserved

If a function is one-to-one, it has an inverse function. (section 5. 2) If

If a function is one-to-one, it has an inverse function. (section 5. 2) If a function is NOT one-to-one, it may be possible to restrict the domain so that it is. Copyright © 2013 Pearson Education, Inc. All rights reserved

Review of Properties of Functions and Their Inverses Copyright © 2013 Pearson Education, Inc.

Review of Properties of Functions and Their Inverses Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Recall that the domain of f is the range of f-1 and the range

Recall that the domain of f is the range of f-1 and the range of f is the domain of f-1. interchange x and y Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Homework: 7. 1 # 13, 17, 19, 23, 25, 31, 37, 41, 43, 45,

Homework: 7. 1 # 13, 17, 19, 23, 25, 31, 37, 41, 43, 45, 49, 55, 61, 65 Copyright © 2013 Pearson Education, Inc. All rights reserved