Mth 125
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MTH 125. Calculus I. Course Info. Section 02 TR 9:30-11:10 Prereq’s listed in detail on the syllabus. Personal Info. Renea Randle Bachelors degree in Mathematices and Mechanical Engineering Masters in Mathematics. Syllabus. Section 1.5. Inverse Functions. Inverse of a Function.

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MTH 125

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Mth 125

MTH 125

Calculus I


Course info

Course Info

  • Section 02

  • TR 9:30-11:10

  • Prereq’s listed in detail on the syllabus


Personal info

Personal Info

  • Renea Randle

    • Bachelors degree in Mathematices and Mechanical Engineering

    • Masters in Mathematics.


Syllabus

Syllabus


Section 1 5

Section 1.5

Inverse Functions


Inverse of a function

Inverse of a Function


Pictorial representation

Pictorial Representation


Example 1

Example 1

Show that the functions are inverses of each other.

and


Graphically

Graphically . . .


Graphically1

Graphically . . .


Graphically2

Graphically . . .


Inverses

Inverses


Example 2

Example 2

Which of the functions has an inverse?

a. b.


Finding the inverse of a function

Finding the Inverse of a Function


Example 3

Example 3

Find the inverse of the function.


Inverse trigonometric functions

Inverse Trigonometric Functions


Mth 125

“Inverting” Trigonometric Functions


Formal definitions

Formal Definitions


Inverse trigonometric properties

Inverse Trigonometric Properties


Example 4

Example 4

Evaluate. (Be sure to put in radians!)

  • )


Example 5

Example 5

Solve.

arccot


Example 6

Example 6

Evaluate without a calculator.

  • arccos(cos)

  • cos(arcsec)


Example 7

Example 7

Find csc given that arccos and .


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