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The Inverse Trigonometric Functions (Continued)

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Presentation on theme: "The Inverse Trigonometric Functions (Continued)"— Presentation transcript:

1 The Inverse Trigonometric Functions (Continued)
Section 7.2 The Inverse Trigonometric Functions (Continued) Copyright © 2013 Pearson Education, Inc. All rights reserved

2 Define the inverse secant, cosecant, and cotangent functions.
Objectives Find the exact value of expressions involving the inverse sine, cosine, and tangent functions. Define the inverse secant, cosecant, and cotangent functions. Use a calculator to evaluate sec-1x, csc-1x, and cot-1x. Write a trigonometric expression as an algebraic expression. Copyright © 2013 Pearson Education, Inc. All rights reserved

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

4 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 cos, sec and cot: quadrants I and II
sin, csc, and tan: quadrants I and IV Copyright © 2013 Pearson Education, Inc. All rights reserved

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

11 Most do not have cot-1, csc-1, or sec-1 functions.
Calculators: Most do not have cot-1, csc-1, or sec-1 functions. You need to convert to an inverse trig function with the same range. (You can’t change cot-1 to tan-1!) 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 Homework: 7.2 #9, 19, 21, 27, 29, 39, 43, 45, 49, 55, 57 Copyright © 2013 Pearson Education, Inc. All rights reserved


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