How do you graph the cotangent function

How do you graph the cotangent function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial introduces the cotangent function, explaining its properties and how to graph it. The instructor begins by mapping initial coordinate points and evaluating the tangent function to understand cotangent as its reciprocal. The tutorial then demonstrates graphing the cotangent function, highlighting the importance of asymptotes and the periodic nature of the graph. The video concludes with a discussion on repeating the graph in both positive and negative directions.

Read more

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing the cotangent function?

Finding the maximum and minimum points

Using a table of values

Drawing the graph directly

Calculating derivatives

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle is not evaluated when mapping the initial period of the cotangent function?

π/3

π/4

0

π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the cotangent function related to the tangent function?

Cotangent is the integral of tangent

Cotangent is the derivative of tangent

Cotangent is the reciprocal of tangent

They are identical

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the tangent function at π/2?

0

1

Undefined

-1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the cotangent function at points where the tangent function is undefined?

It becomes negative

It becomes one

It becomes undefined

It becomes zero

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the cotangent graph?

π

π/2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do vertical asymptotes in the cotangent graph represent?

Points where the function is minimum

Points where the function is undefined

Points where the function is maximum

Points where the function is zero