The Inverse Sine, Cosine, and Tangent Functions

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Presentation transcript:

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

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

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. 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 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

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