Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to find positive 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 Positive Cosine

The value of a cosine is positive in which quadrants?

Possible Answers:

The 1st and 3rd

The 3rd only

The 1st and 4th

The 4th only

Correct answer:

The 1st and 4th

Explanation:

The cosine is positive in the 1^st and 4^th quadrants and negative in 2^nd and 3^rd

Report an Error

Example Question #1 : How To Find Positive Cosine

Which of the following is equal to $cos\ x * csc\ x$ ?

Possible Answers:

$sec\ x$

$cot\ x$

$sin \ x* sec\ x$

$tan\ x$

$cot\ x* sec\ x$

Correct answer:

$cot\ x$

Explanation:

Here, we use the SOHCAHTOA ratios and the fact that csc x = 1 / sin x.

Cosine x = adjacent side length / hypotenuse length

Cosecant x = 1 / sin x = hypotenuse / opposite

(Adjacent / hypotenuse) * (hypotenuse / opposite) = Adjacent / opposite = Cotangent x.

Report an Error

Example Question #3 : How To Find Positive Cosine

cos(x)=0.5 and is between and $\pi$ . What is the value of cos(0.5x) ?

Possible Answers:

0.25

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

$\sqrt{2}$

$3\sqrt{3}$

Correct answer:

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

Explanation:

For to $\pi$ , we know that $cos(\frac{\pi}{3}) = 0.5$ . So, the question asks, what is the value of cos(0.5x) , where $x=\frac{\pi}{3}$ . Therefore, it is asking what the value of $cos(\frac{\pi}{6})$ is, which is $\frac{\sqrt{3}}{2}$ .

Report an Error

Example Question #2 : How To Find Positive Cosine

To the nearest , what is the cosine formed from the origin to (5, 6) ? Assume counterclockwise rotation.

Possible Answers:

Correct answer:

Explanation:

If the point to be reached is (5, 6) , then we may envision a right triangle with sides and , and hypotenuse . The Pythagorean Theorem tells us that a^2 + b^2 = c^2 , so we plug in and find that: 5^2 + 6^2 = c^2 = 61

Thus, $c = \sqrt{61}$

Now, SOHCAHTOA tells us that $\textup{cosine} = \frac{\textup{adjacent}}{\textup{hypotenuse}}$ , so we know that:

$\textup{cos }x^{\circ} = \frac{5}{\sqrt{61}} \approx 0.6402$

Thus, our cosine is approximately .

Report an Error

Example Question #3051 : Act Math

Two drivers race to a finish line. Driver A drives north blocks, and east blocks and crosses the goal. Driver B drives the shortest direct route between the two points. Relative to east, what is the cosine of the angle at which Driver B raced? Round to the nearest .

Possible Answers:

Correct answer:

Explanation:

If the point to be reached is blocks north and blocks east, then we may envision a right triangle with sides and , and hypotenuse . The Pythagorean Theorem tells us that a^2 + b^2 = c^2 , so we plug in and find that: 20^2 + 6^2 = c^2 = 436

Thus, $c = \sqrt{436} = 2\sqrt{109}$

Now, SOHCAHTOA tells us that $\textup{cosine} = \frac{\textup{adjacent}}{\textup{hypotenuse}}$ , so we know that:

$cos x^{\circ} = \frac{20}{2\sqrt{109}} = \frac{10}{\sqrt{109}} \approx .9578$

Thus, our cosine is approximately .

Report an Error

View ACT Math Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

View ACT Math Tutors

Solomon
Certified Tutor

Yale University, Bachelor in Arts, Economics.

View ACT Math Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

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

Spanish Courses & Classes in Atlanta, GRE Courses & Classes in Seattle, GMAT Courses & Classes in Boston, MCAT Courses & Classes in Denver, LSAT Courses & Classes in Chicago, GRE Courses & Classes in Houston, ISEE Courses & Classes in Washington DC, SAT Courses & Classes in Boston, ISEE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

GRE Test Prep in Seattle, ACT Test Prep in Washington DC, SSAT Test Prep in Miami, GRE Test Prep in Houston, SSAT Test Prep in Seattle, LSAT Test Prep in Chicago, SAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Washington DC, SSAT Test Prep in Boston, ISEE Test Prep in Philadelphia

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 positive cosine

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Find Positive Cosine

Example Question #1 : How To Find Positive Cosine

Example Question #3 : How To Find Positive Cosine

Example Question #2 : How To Find Positive Cosine

Example Question #3051 : Act Math

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: