Table of contents

0. Review of College Algebra4h 43m
1. Measuring Angles39m
2. Trigonometric Functions on Right Triangles2h 5m
3. Unit Circle1h 19m
4. Graphing Trigonometric Functions1h 19m
5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
6. Trigonometric Identities and More Equations2h 34m
7. Non-Right Triangles1h 38m
8. Vectors2h 25m
9. Polar Equations2h 5m
10. Parametric Equations1h 6m
11. Graphing Complex Numbers1h 7m

1. Measuring Angles

Angles in Standard Position

Trigonometry

1. Measuring Angles

Angles in Standard Position

1:08 minutes

Problem 1b

Textbook Question

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One degree, written 1°, represents ____________ of a complete rotation.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Degrees and Rotation

A degree is a unit of measurement for angles, where one complete rotation is divided into 360 equal parts. Each part is called a degree, denoted by the symbol '°'. This division allows for precise measurement of angles in various applications, including geometry and trigonometry.

Circle and Angle Measurement

In a circle, the total angle around a point is 360 degrees. This means that when measuring angles, 1 degree represents 1/360th of a full rotation. Understanding this relationship is crucial for solving problems involving circular motion and trigonometric functions.

Trigonometric Functions

Trigonometric functions, such as sine, cosine, and tangent, relate angles to the ratios of sides in right triangles. These functions are often expressed in degrees, making it essential to understand how degrees relate to angles in order to apply trigonometric principles effectively in various mathematical contexts.