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
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Problem 2a
Textbook Question
CONCEPT PREVIEW Match the measure of bearing in Column I with the appropriate graph in Column II. I. II. 1. A. B. C. 2. S 70° W 3. 4. D. E. F. 5. 6. 7. G. H. 8. 9. 10. I. J.
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1
<Step 1: Understand the concept of bearing. Bearings are used to describe direction and are measured in degrees from the North in a clockwise direction.>
<Step 2: Analyze the given bearing 'S 70° W'. This means starting from the South, measure 70 degrees towards the West.>
<Step 3: Visualize or sketch the direction. Start facing South, then rotate 70 degrees towards the West.>
<Step 4: Match this direction with the appropriate graph in Column II. Look for a graph that shows a line starting from the South and moving 70 degrees towards the West.>
<Step 5: Verify your choice by ensuring the angle and direction match the description 'S 70° W'.>
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Bearing
Bearing is a way of expressing direction in navigation and geometry, typically measured in degrees from the north direction. It is represented as an angle, with the first letter indicating the cardinal direction (N, S, E, W) from which the angle is measured, followed by the angle itself and the direction it turns (clockwise or counterclockwise). For example, 'S 70° W' means starting from the south and turning 70 degrees towards the west.
Graphical Representation of Bearings
Graphical representation of bearings involves plotting the direction indicated by the bearing on a coordinate system or compass rose. Each bearing corresponds to a specific angle, which can be visualized on a graph where the origin represents the starting point. Understanding how to translate a bearing into a graphical format is essential for accurately matching it with the correct graph.
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Compass Rose
A compass rose is a figure on a map or chart used to display the orientation of the cardinal directions (North, East, South, West) and their intermediate points. It serves as a reference for understanding bearings and directions. Familiarity with the compass rose is crucial for interpreting bearings correctly and for visualizing how they relate to the various graphs presented in the question.
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