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MTH 125

This course section focuses on Inverse Functions, a fundamental topic in Calculus I. It covers the pictorial representation of inverses, methods to determine if two functions are inverses, and techniques to find the inverse of a function. Students will engage in various examples, including evaluating inverse trigonometric functions and solving problems involving arccot, arccos, and arcsec. Prerequisites are outlined in the syllabus. Instructor Renea Randle brings expertise with a bachelor's in Mathematics and Engineering and a master's in Mathematics.

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MTH 125

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  1. MTH 125 Calculus I

  2. Course Info • Section 02 • TR 9:30-11:10 • Prereq’s listed in detail on the syllabus

  3. Personal Info • Renea Randle • Bachelors degree in Mathematices and Mechanical Engineering • Masters in Mathematics.

  4. Syllabus

  5. Section 1.5 Inverse Functions

  6. Inverse of a Function

  7. Pictorial Representation

  8. Example 1 Show that the functions are inverses of each other. and

  9. Graphically . . .

  10. Graphically . . .

  11. Graphically . . .

  12. Inverses

  13. Example 2 Which of the functions has an inverse? a. b.

  14. Finding the Inverse of a Function

  15. Example 3 Find the inverse of the function.

  16. Inverse Trigonometric Functions

  17. “Inverting” Trigonometric Functions

  18. Formal Definitions

  19. Inverse Trigonometric Properties

  20. Example 4 Evaluate. (Be sure to put in radians!) • )

  21. Example 5 Solve. arccot

  22. Example 6 Evaluate without a calculator. • arccos(cos) • cos(arcsec)

  23. Example 7 Find csc given that arccos and .

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