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

1:05 minutes

Problem 6b

Textbook Question

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One minute, written 1' , is ________________ of a degree.

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Key Concepts

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

Degrees and Minutes

In trigonometry, angles are often measured in degrees, where one full rotation is 360 degrees. A minute is a subdivision of a degree, specifically, one degree is divided into 60 minutes. This means that 1 minute is equal to 1/60th of a degree, which is crucial for precise angle measurements in various applications.

Conversion between Units

Understanding how to convert between different units of measurement is essential in trigonometry. In this context, converting minutes to degrees involves recognizing that 1 minute equals 1/60 of a degree. This conversion is fundamental when working with angles in calculations, ensuring accuracy in trigonometric functions.

Trigonometric Functions

Trigonometric functions, such as sine, cosine, and tangent, are based on angles measured in degrees or radians. Knowing how to express angles in different units, including degrees and minutes, is vital for applying these functions correctly. This understanding allows for effective problem-solving in trigonometry, especially when dealing with real-world applications.