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
1:41 minutes
Problem 3
Textbook Question
Textbook QuestionCONCEPT PREVIEW Match each trigonometric function value or angle in Column I with its appropriate approximation in Column II. I II. 1. A. 88.09084757° 2. B. 63.25631605° 3. tan 16° 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 ratios of its sides. Understanding these functions is essential for solving problems involving angles and distances in trigonometry. For example, the tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side, which is crucial for determining angle measures and function values.
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Angle Measurement
Angles in trigonometry can be measured in degrees or radians. Degrees are a more common unit in everyday contexts, while radians are often used in higher mathematics. Knowing how to convert between these two units is vital for accurately matching angles with their corresponding trigonometric function values, as seen in the question's context.
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Approximation of Trigonometric Values
Trigonometric values can be approximated using calculators or trigonometric tables. These approximations are essential for solving problems where exact values are not easily obtainable. In the context of the question, recognizing the approximate values of trigonometric functions for specific angles allows for accurate matching between the two columns presented.
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