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Precalculus College Algebra with Trig Wkst Unit Circle Practice Name: Date: A) State the sign of the following ratios. 1. sin 157 2. cos 250 3. tan (64) 4. sin (500) B) Write as a ratio of its reference.

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  1. Click the ‘Get Form’ button to access the Unit Circle Problems document and open it in the editing interface.
  2. Begin with Section A, where you will need to determine the sign of the given trigonometric ratios. For each item (1 through 4), indicate whether the value is positive or negative based on the angle provided.
  3. Proceed to Section B, where you will convert the cosine and tangent values into the ratio of their reference angles. Complete the lines provided for each problem by applying the knowledge of unit circle reference angles.
  4. In Section C, input the cosine values based on the given angle of cos 50°. Fill out each line by calculating the cosine of the specified angles, using the corresponding reference angles as needed.
  5. For Section D, you are to find the exact values without any mechanical aids. For each angle named (1 through 12), write the respective values of sine, cosine, or tangent directly next to the angle.
  6. In the challenging Section F, determine all angles that satisfy the equation where cosine equals -0.5 for angles between 0° and 360°. Write down all appropriate values in this section.
  7. Finally, review each section for accuracy. Once you are satisfied with your responses, you can save your changes, download the document, print it, or share it as needed.

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Correct answer: The unit circle is the circle of radius one centered at the origin in the Cartesian coordinate system.

Memorizing the unit circle is actually much easier than you'd think, thanks to a couple little tricks: Trick 1: Because of the following 4 equations, we only need to memorize the unit circle values for sine and cosine.

The unit circle is a circle having a radius value of 1 and its center at the origin of a rectangular coordinate system. For example, if u and v are the variables in a rectangular coordinate system, the equation of the unit circle would be given by u2 + v2 = 1, and the graph of the circle would be as shown below.

0:01 12:43 How To Remember The Unit Circle Fast! - YouTube YouTube Start of suggested clip End of suggested clip Now the first thing we need to be familiar. With are the angles of the unit circle in radians. SoMoreNow the first thing we need to be familiar. With are the angles of the unit circle in radians. So here we have 0 degrees. And a full circle is two pi half a circle is one pi.

7:04 13:45 The Unit Circle Explanation/Practice Problems - YouTube YouTube Start of suggested clip End of suggested clip So if you plug that back into a 30-60-90. This side right here X has a value of 1/2. And this side XMoreSo if you plug that back into a 30-60-90. This side right here X has a value of 1/2. And this side X root 3 has a value of 1/2 root 3 which is just the root 3 divided by 2.

A unit circle is a circle on the Cartesian Plane that has a radius of 1 unit and is centered at the origin (0, 0). The unit circle is a powerful tool that provides us with easier reference when we work with trigonometric functions and angle measurements. You can apply the Pythagorean Theorem to the unit circle.

The unit circle is a circle of radius one, centered at the origin, that summarizes all the right triangle relationships that exist. As you saw in the introduction, the points along the circle are determined by the sine and cosine of the angle.

In the Real World - At A Glance It shows up in architecture, engineering, geography, astronomy, digital imaging, and a host of other fields. It can be used to calculate distances like the heights of mountains or how far away the stars in the sky are.

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© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232
Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
Privacy Notice
Legal Hub
Content Takedown Policy
Bug Bounty Program
About Us
Help Portal
Legal Resources
Blog
Affiliates
Contact Us
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
altaFlow
DocHub
Instapage
Social Media
Call us now toll free:
+1 833 426 79 33
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232