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

1:34 minutes

Problem 1d

Textbook Question

CONCEPT PREVIEW Match each trigonometric function value or angle in Column I with its appropriate approximation in Column II. I II. 1. sin 83° A. 88.09084757° 2. B. 63.25631605° 3. C. 1.909152433° 4. D. 17.45760312° 5. E. 0.2867453858 6. F. 1.962610506 7. G. 14.47751219° 8. H. 1.015426612 9. I. 1.051462224 10. J. 0.9925461516

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Key Concepts

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

Trigonometric Functions

Trigonometric functions, such as sine, cosine, and tangent, relate the angles of a triangle to the lengths of its sides. For example, the sine function of an angle in a right triangle is defined as the ratio of the length of the opposite side to the hypotenuse. Understanding these functions is crucial for solving problems involving angles and their corresponding values.

Angle Measurement

Angles in trigonometry can be measured in degrees or radians. In this context, degrees are used, where a full circle is 360 degrees. Knowing how to convert between degrees and radians, as well as how to interpret angle measures, is essential for accurately matching trigonometric function values with their corresponding angles.

Approximation of Trigonometric Values

Trigonometric values can be approximated using calculators or trigonometric tables. For instance, the sine of 83° can be approximated to a decimal value, which is necessary for matching with the provided options. Familiarity with how to find and interpret these approximations is key to solving the matching problem presented.