How does the value of 'b' in the function $$f(x) = a \, \text{cos}(bx)$$ affect the graph?

The value of 'b' affects the period of the function. The period is calculated as $$\frac{2\text{π}}{|b|}$$ .

What is the relationship between the sine and cosine functions?

The sine and cosine functions are phase-shifted versions of each other. Specifically, $$\text{sin}(x) = \text{cos}igg(x - \frac{\text{π}}{2}igg)$$ .

How do you find the x-value at a specific point on the graph of a cosine function?

To find the x-value at a specific point, you can use the equation of the function and solve for x at that point.

What is the equation of the graph that corresponds to the function with a period of $$\frac{1}{2}$$ ?

The equation is $$y = \text{cos}igg(2xigg)$$ .

What is the value of x at point P for the graph of $$y = \text{cos}(5x)$$ ?

The value of x at point P is $$\frac{2\text{π}}{5}$$ .

What does the term 'phase shift' refer to in trigonometric functions?

Phase shift refers to the horizontal shift left or right for periodic functions, determined by the value of 'c' in the function $$f(x) = a \, \text{cos}(bx - c) + d$$ .

What is the maximum value of the function $$f(x) = 3 \, \text{sin}(x) + 1$$ ?

The maximum value is 4, calculated as the amplitude (3) plus the vertical shift (1).

What is the minimum value of the function $$f(x) = -2 \, \text{cos}(x)$$ ?

The minimum value is -2, as the cosine function has a maximum value of 1, and the negative coefficient reflects it.

How do you identify the type of trigonometric function from its graph?

You can identify the type of function by observing the shape of the graph: sine functions start at the midline, while cosine functions start at the maximum or minimum.

Sine and Cosine Function Graphs Flashcard

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the period of the sine and cosine functions?

Back

The period of the sine and cosine functions is the distance along the x-axis required for the function to complete one full cycle. For the standard functions, the period is 2π.

2.

FLASHCARD QUESTION

Front

How do you determine the period of a transformed cosine function?

Back

3.

FLASHCARD QUESTION

Front

What is the amplitude of a sine or cosine function?

Back

4.

FLASHCARD QUESTION

Front

What is the effect of a negative coefficient in front of a cosine function?

Back

A negative coefficient in front of a cosine function reflects the graph across the x-axis.

5.

FLASHCARD QUESTION

Front

What is the equation of the graph with an amplitude of 5 and a cosine function?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

Create a free account and access millions of resources

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

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

7 questions

International Yoga Day Quiz

Flashcard

•

KG - University

9 questions

Classical and Medieval Art

Flashcard

•

KG

9 questions

Image and the City. Vocabulary. CPE Practice tests.

Flashcard

•

11th Grade

15 questions

paměť + pozornost

Flashcard

•

9th - 12th Grade

8 questions

Tablet Parts

Flashcard

•

KG

10 questions

Technology vocabulary

Flashcard

•

University

15 questions

Relative Clauses

Flashcard

•

12th Grade

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

6 questions

FOREST Self-Discipline

Lesson

•

1st - 5th Grade

7 questions

Veteran's Day

Interactive video

•

3rd Grade

20 questions

Weekly Prefix check #2

Quiz

•

4th - 7th Grade

Discover more resources for Mathematics

19 questions

Explore Triangle Congruence and Proofs

Quiz

•

9th - 12th Grade

15 questions

Identify Triangle Congruence Criteria

Quiz

•

9th - 12th Grade

23 questions

Similar Figures

Quiz

•

9th - 12th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

10 questions

Arithmetic Sequences

Quiz

•

9th - 12th Grade

20 questions

Week 4 Memory Builder 1 (Squares and Roots) Term 2

Quiz

•

9th - 12th Grade

12 questions

Simplifying Roots

Quiz

•

9th - 12th Grade

12 questions

Identifying Ratios

Quiz

•

6th - 12th Grade