Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to find the domain of the cosine

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Domain Of The Cosine

What is the domain of $y=cos(\theta) -3$ ?

Possible Answers:

$(-\infty,-3]$

[-3,3]

${}(-\infty,\infty)$

Does not exist.

${}(-\infty,-3)$

Correct answer:

${}(-\infty,\infty)$

Explanation:

The domain of a function is referring to the x values that can be plugged into the function and produce a value.

The domain of the parent function $cos(\theta)$ has a domain from negative infinity to positive infinity.

The term only shifts the function down three units, which will not affect the domain of the cosine graph.

Therefore, the answer is ${}(-\infty,\infty)$ .

Report an Error

Example Question #1 : How To Find The Domain Of The Cosine

Given a function $y=2cos(\theta)+6$ , what is a valid domain?

Possible Answers:

$(0,\infty)$

$[0,\infty)$

[2,6]

$(-\infty, \infty)$

(2,6)

Correct answer:

$(-\infty, \infty)$

Explanation:

The function $y=2cos(\theta)+6$ is related to the parent function $y=cos(\theta)$ .

The domain of the parent function is $(-\infty,\infty)$ . The values and will not affect the domain of the curve.

The answer is $(-\infty,\infty)$ .

Report an Error

Example Question #1 : How To Find The Domain Of The Cosine

What is the domain of the following trigonometric equation:

$f(t) = -2\cos(12t)$

Possible Answers:

$[-2\pi,2\pi]$

[2,12]

[-12,12]

$(-\infty,\infty)$

[-2,2]

Correct answer:

$(-\infty,\infty)$

Explanation:

For sine and cosine, they can take any for , thus the domain is all real numbers or:

$(-\infty,\infty)$

Report an Error

Example Question #22 : Cosine

What is the domain of the function f (x) = cos(x) ?

Possible Answers:

$(-\infty, 1]$

$[-1, \infty)$

$(-\infty, \infty )$

[-1, 1]

$[-\pi, \pi]$

Correct answer:

$(-\infty, \infty )$

Explanation:

The domain of a function refers to all possible values of for which an answer can be obtained. Cosine, as a function, cycles endlessly between and (subject to modifiers of the amplitude). Because there is no real number value that can be inserted into in this case which does not produce a value between and , the domain of cosine is effectively infinite.

Report an Error

Example Question #2 : How To Find The Domain Of The Cosine

What is the domain of the function f (x) = cos (x) +7 ?

Possible Answers:

$[-7, \infty)$

$(-\infty +7, \infty +7)$

$(-\infty, 7]$

[-7, 7]

$(-\infty, \infty)$

Correct answer:

$(-\infty, \infty)$

Explanation:

Note that adding to the end of the equation changes nothing with respect to domain, as there is no such thing as "infinity plus seven", nor "negative infinity plus seven". The function is still infinite in domain even when shifted up units.

Report an Error

Example Question #1 : How To Find The Domain Of The Cosine

What is the domain of the function f (x) = 8 cos (3x) ?

Possible Answers:

[-24, 24]

$[-24\pi, 24\pi]$

$(-\infty, infty)$

$(-24\infty, 24\infty)$

Correct answer:

$(-\infty, infty)$

Explanation:

Note that in this case, neither the nor the on the outside affect the domain of the function. They do affect the amplitude, which means the value for range will change, but there is no such thing as "three times infinity" nor "three times negative infinity", so the effective domain remains infinite.

Report an Error

View ACT Math Tutors

Alvin
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Computer Science.

View ACT Math Tutors

Anne
Certified Tutor

University of Maryland-Baltimore, Doctor of Science, Accounting.

View ACT Math Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

MCAT Courses & Classes in Boston, SSAT Courses & Classes in New York City, GMAT Courses & Classes in Houston, ACT Courses & Classes in Boston, MCAT Courses & Classes in Miami, ISEE Courses & Classes in Atlanta, SAT Courses & Classes in Chicago, SSAT Courses & Classes in Denver, SAT Courses & Classes in Atlanta, LSAT Courses & Classes in Washington DC

Popular Test Prep

GMAT Test Prep in Philadelphia, ISEE Test Prep in Miami, GRE Test Prep in Boston, GMAT Test Prep in New York City, ACT Test Prep in Chicago, LSAT Test Prep in New York City, ISEE Test Prep in Boston, SAT Test Prep in Los Angeles, ACT Test Prep in Philadelphia, GRE Test Prep in Los Angeles

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ACT Math : How to find the domain of the cosine

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Find The Domain Of The Cosine

Example Question #1 : How To Find The Domain Of The Cosine

Example Question #1 : How To Find The Domain Of The Cosine

Example Question #22 : Cosine

Example Question #2 : How To Find The Domain Of The Cosine

Example Question #1 : How To Find The Domain Of The Cosine

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: