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The Inverse Sine, Cosine, and Tangent Functions

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1 The Inverse Sine, Cosine, and Tangent Functions
Section 7.1 The Inverse Sine, Cosine, and Tangent Functions Copyright © 2013 Pearson Education, Inc. All rights reserved

2 Find the exact value of an inverse sine function.
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

3 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

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

5 Copyright © 2013 Pearson Education, Inc. All rights reserved

6 Copyright © 2013 Pearson Education, Inc. All rights reserved

7 Copyright © 2013 Pearson Education, Inc. All rights reserved

8 Copyright © 2013 Pearson Education, Inc. All rights reserved

9 Copyright © 2013 Pearson Education, Inc. All rights reserved

10 Copyright © 2013 Pearson Education, Inc. All rights reserved

11 Copyright © 2013 Pearson Education, Inc. All rights reserved

12 Copyright © 2013 Pearson Education, Inc. All rights reserved

13 Copyright © 2013 Pearson Education, Inc. All rights reserved

14 Copyright © 2013 Pearson Education, Inc. All rights reserved

15 Copyright © 2013 Pearson Education, Inc. All rights reserved

16 Copyright © 2013 Pearson Education, Inc. All rights reserved

17 Copyright © 2013 Pearson Education, Inc. All rights reserved

18 Copyright © 2013 Pearson Education, Inc. All rights reserved

19 Copyright © 2013 Pearson Education, Inc. All rights reserved

20 Copyright © 2013 Pearson Education, Inc. All rights reserved

21 Copyright © 2013 Pearson Education, Inc. All rights reserved

22 Copyright © 2013 Pearson Education, Inc. All rights reserved

23 Copyright © 2013 Pearson Education, Inc. All rights reserved

24 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

25 Copyright © 2013 Pearson Education, Inc. All rights reserved

26 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


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