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
7. Non-Right Triangles
Law of Sines
6:06 minutes
Problem 10
Textbook Question
Textbook QuestionIn Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. A = 56°, C = 24°, a = 22
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Law of Sines
The Law of Sines is a fundamental principle in trigonometry that relates the ratios of the lengths of sides of a triangle to the sines of its angles. It states that for any triangle, the ratio of a side length to the sine of its opposite angle is constant. This law is particularly useful for solving triangles when given two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).
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Triangle Sum Theorem
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees. This theorem is essential for finding unknown angles in a triangle when two angles are known. In the given problem, knowing angle A and angle C allows us to calculate angle B, which is crucial for applying the Law of Sines effectively.
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Rounding Rules
Rounding rules are guidelines for approximating numbers to a specified degree of accuracy. In this context, lengths are rounded to the nearest tenth and angle measures to the nearest degree. Understanding how to round correctly is important for presenting final answers in a clear and standardized format, ensuring that results are both accurate and easy to interpret.
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