We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : The Unit Circle and Radians

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : The Unit Circle And Radians

What is $\sin(\frac{\pi}{2})$ ?

Possible Answers:

$\frac{\sqrt2}{2}$

$2\pi$

Correct answer:

Explanation:

If you examine the unit circle, you'll see that the the $\sin(\frac{\pi}{2})=1$ . If you were to graph a sine function, you would also see that it crosses through the point $(\frac{\pi}{2},1)$ .

Report an Error

Example Question #2 : Using The Unit Circle

What is $\cos(\frac{2\pi}{3})$ ?

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

$-\frac{1}{2}$

Explanation:

If you look at the unit circle, you'll see that $\cos(\frac{2\pi}{3})=\frac{1}{2}$ . You can also think of this as the cosine of $60^\circ$ , which is also $\frac{1}{2}$ .

Report an Error

Example Question #1 : Using The Unit Circle

What is $\sin(\frac{2\pi}{3})$ ?

Possible Answers:

$\frac{1}{2}$

$-\frac{\sqrt3}{2}$

$\frac{\sqrt3}{2}$

Correct answer:

$\frac{\sqrt3}{2}$

Explanation:

If you look at the unit circle, you'll see that $\sin(\frac{2\pi}{3})=\frac{\sqrt3}{2}$ . You can also think of this as the sine of $60^\circ$ , which is also $\frac{\sqrt3}{2}$ .

Report an Error

Example Question #3 : The Unit Circle And Radians

What is $\cos(\frac{\pi}{4})$ ?

Possible Answers:

$\frac{\sqrt2}{2}$

$\frac{2\sqrt2}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{\sqrt2}{2}$

Explanation:

Using the unit circle, $\cos(\frac{\pi}{4})=\frac{\sqrt2}{2 }$ . You can also think of this as the cosine of $45^\circ$ , which would also be $\frac{\sqrt2}{2}$ .

Report an Error

Example Question #3 : Using The Unit Circle

What is $\cos(\frac{\pi}{2})$ ?

Possible Answers:

$\frac{1}{3}$

$\frac{\sqrt2}{}2$

Correct answer:

Explanation:

Using the unit circle, you can see that $\cos(\frac{\pi}{2})=0$ . If you were to graph a cosine function, you would also see that it crosses through the point $(\frac{\pi}{2},0)$ .

Report an Error

Example Question #4 : The Unit Circle And Radians

What is $\sin(\frac{3\pi}{4})$ ?

Possible Answers:

$\frac{\sqrt{2}}{2}$

$\frac{-\sqrt2}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{\sqrt{2}}{2}$

Explanation:

Using the unit circle, $\sin(\frac{3\pi}{4})=\frac{\sqrt2}{2 }$ . You can also think of this as the sine of $135^\circ$ , which would also be $\frac{\sqrt2}{2}$ .

Report an Error

Example Question #4 : Using The Unit Circle

What is $\cos (\frac{3\pi}{4})$ ?

Possible Answers:

$-\frac{\sqrt2}{2}$

$\frac{2\sqrt2}{2}$

$\frac{\sqrt2}{2}$

Correct answer:

$-\frac{\sqrt2}{2}$

Explanation:

Using the unit circle, you can see that the $\cos (\frac{3\pi}{4})=-\frac{\sqrt2}{2}$ . Since the angle is in Qudrant II, sine is positive and cosine is negative.

Report an Error

Example Question #2 : The Unit Circle And Radians

What is $\sin(\frac{\pi}{4})$ ?

Possible Answers:

$\frac{\sqrt2}{2}$

$\frac{1}{2}$

$-\frac{\sqrt2}{2}$

Correct answer:

$\frac{\sqrt2}{2}$

Explanation:

Using the unit circle, $\sin(\frac{\pi}{4})=\frac{\sqrt2}{2 }$ . You can also think of this as the sine of $45^\circ$ , which would also be $\frac{\sqrt2}{2}$ .

Report an Error

Example Question #1 : Using The Unit Circle

What is $\sin(\pi)$ ?

Possible Answers:

$\frac{1}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{3}}{2}$

Correct answer:

Explanation:

If you examine the unit circle, you'll see that that $\sin(\pi)=0$ .

Report an Error

Example Question #1761 : High School Math

What is $\cos(\pi)$ ?

Possible Answers:

$\frac{\sqrt2}{2}$

$\frac{\sqrt3}{2}$

Correct answer:

Explanation:

If you examine the unit circle, you'll see that the value of $\cos(\pi)=-1$ . You can also get this by examining a cosine graph and you'll see it crosses the point $(\pi,-1)$ .

Report an Error

View Tutors

Mary
Certified Tutor

CUNY Queens College, Bachelor in Arts, Spanish. CUNY Queens College, Master of Arts, Education.

View Tutors

Jaahanava
Certified Tutor

University of Windsor, Master's/Graduate, Computer Science .

View Tutors

Mark
Certified Tutor

Eastern Michigan University, Bachelor of Science, Education of Individuals in Secondary Special Education Programs. Eastern M...

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GMAT Tutors in Seattle, Math Tutors in Denver, SSAT Tutors in Washington DC, GRE Tutors in Denver, GMAT Tutors in San Francisco-Bay Area, Math Tutors in Seattle, Calculus Tutors in Atlanta, GMAT Tutors in Miami, SSAT Tutors in Denver, GMAT Tutors in Philadelphia

Popular Courses & Classes

MCAT Courses & Classes in Washington DC, GRE Courses & Classes in Denver, GRE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Washington DC, LSAT Courses & Classes in Chicago, Spanish Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Boston, MCAT Courses & Classes in Seattle

Popular Test Prep

GRE Test Prep in San Diego, SAT Test Prep in Los Angeles, ACT Test Prep in San Francisco-Bay Area, SAT Test Prep in Houston, ACT Test Prep in Phoenix, GMAT Test Prep in Seattle, GRE Test Prep in Denver, LSAT Test Prep in Seattle, LSAT Test Prep in New York City, GMAT Test Prep in San Diego

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

High School Math : The Unit Circle and Radians

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : The Unit Circle And Radians

Example Question #2 : Using The Unit Circle

Example Question #1 : Using The Unit Circle

Example Question #3 : The Unit Circle And Radians

Example Question #3 : Using The Unit Circle

Example Question #4 : The Unit Circle And Radians

Example Question #4 : Using The Unit Circle

Example Question #2 : The Unit Circle And Radians

Example Question #1 : Using The Unit Circle

Example Question #1761 : High School Math

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: