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

1:47 minutes

Problem 2

Textbook Question

CONCEPT 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. cos⁻¹ 0.45 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.

Inverse Trigonometric Functions

Inverse trigonometric functions, such as sin⁻¹, cos⁻¹, and tan⁻¹, are used to find angles when the value of a trigonometric function is known. For example, cos⁻¹(0.45) gives the angle whose cosine is 0.45. Understanding how to use these functions is essential for matching angles with their corresponding function values.

Trigonometric Function Values

Trigonometric functions (sine, cosine, tangent, etc.) relate angles to ratios of sides in right triangles. Each function has specific values for given angles, which can be approximated using a calculator or trigonometric tables. Recognizing these values is crucial for accurately matching them with their corresponding angles in the problem.

Degrees and Radians

Angles can be measured in degrees or radians, with 180 degrees equal to π radians. In trigonometry, it is important to convert between these two units when necessary, as many functions and calculators may default to one or the other. Understanding this conversion is vital for correctly interpreting and matching angle measures in the given problem.