What is the period length of the function $$y=\tan x$$ ?

The period length of $$y=\tan x$$ is $$\text{π}$$ .

What is the period of the function $$y=4\text{cos}(5x)$$ ?

The period of $$y=4\text{cos}(5x)$$ is $$\frac{2\text{π}}{5}$$ .

What is the effect of a negative sign in front of a sine function, such as $$y = -\text{sin}(x)$$ ?

A negative sign reflects the graph across the x-axis.

What is the phase shift of the function $$y = \text{sin}(x - \frac{\text{π}}{2})$$ ?

The phase shift is $$\frac{\text{π}}{2}$$ units to the right.

What is the vertical shift in the function $$y = \text{sin}(x) + 3$$ ?

The vertical shift is 3 units upward.

How does the graph of $$y = \text{sin}(x)$$ differ from $$y = \text{cos}(x)$$ ?

The graph of $$y = \text{sin}(x)$$ starts at (0, 0) while $$y = \text{cos}(x)$$ starts at (0, 1).

What is the relationship between the sine and cosine functions?

The sine function is a phase-shifted version of the cosine function: $$\text{sin}(x) = \text{cos}(x - \frac{\text{π}}{2})$$ .

What is the domain of the tangent function $$y = \tan(x)$$ ?

The domain of $$y = \tan(x)$$ is all real numbers except for $$x = \frac{\text{π}}{2} + n\text{π}$$ , where n is any integer.

What is the range of the cotangent function $$y = \text{cot}(x)$$ ?

The range of $$y = \text{cot}(x)$$ is all real numbers.

What is the effect of changing the coefficient of x in the tangent function, such as in $$y = \tan(3x)$$ ?

Changing the coefficient of x affects the period of the tangent function, making it shorter.

Graphing Sine, Cosine, Tangent & Cotangent Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Where does the graph of cosine begin?

Back

The graph of cosine begins at the point (0, 1).

Tags

CCSS.HSF-IF.C.7E

2.

FLASHCARD QUESTION

Front

What is the equation for the height of a Ferris wheel seat above the ground that follows a sine wave pattern with a maximum height of 6 meters and completes one full rotation every π/4 minutes?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.4

5.

FLASHCARD QUESTION

Front

What is the general form of a sine function?

Back

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

What does the amplitude of a sine or cosine function represent?

Back

The amplitude represents the maximum distance from the midline of the graph to its peak or trough.

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

How do you determine the period of a sine or cosine function?

Back

Tags

CCSS.HSF.TF.A.4

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Parts of speech: general review

Flashcard

•

11th - 12th Grade

15 questions

AP Biology Genetics Flashcard

Flashcard

•

12th Grade - University

15 questions

"The Importance of Being Earnest"

Flashcard

•

12th Grade - University

10 questions

Mathematics Glossary

Flashcard

•

KG

10 questions

Disney descendants flashcard

Flashcard

•

KG

10 questions

SUP E3 - PART 1

Flashcard

•

University

11 questions

Genetic Engineering Concepts

Flashcard

•

11th Grade - University

12 questions

Present perfect Vs past tense

Flashcard

•

University

Popular Resources on Wayground

20 questions

"What is the question asking??" Grades 3-5

Quiz

•

1st - 5th Grade

20 questions

“What is the question asking??” Grades 6-8

Quiz

•

6th - 8th Grade

10 questions

Fire Safety Quiz

Quiz

•

12th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

34 questions

STAAR Review 6th - 8th grade Reading Part 1

Quiz

•

6th - 8th Grade

20 questions

“What is the question asking??” English I-II

Quiz

•

9th - 12th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

47 questions

8th Grade Reading STAAR Ultimate Review!

Quiz

•

8th Grade

Discover more resources for Mathematics

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

15 questions

Converting Between Exponential And Logarithmic Form

Quiz

•

9th - 12th Grade

15 questions

Algebra 1 Vocabulary

Quiz

•

9th - 12th Grade

4 questions

Set It Up: Algebra I EOC Review

Quiz

•

9th - 12th Grade

14 questions

Intro solving quads by graphing/factoring

Presentation

•

9th - 12th Grade

17 questions

Intro To Dilations

Quiz

•

8th - 12th Grade

47 questions

CCG Review Day Probability/Counting Procedures

Quiz

•

9th - 12th Grade

20 questions

Height on a Ferris wheel

Quiz

•

9th - 12th Grade