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

2:09 minutes

Problem 28

Textbook Question

Find the measure of each marked angle. See Example 2.

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Key Concepts

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

Angle Relationships

Understanding angle relationships is crucial in trigonometry. This includes concepts such as complementary angles (two angles that sum to 90 degrees) and supplementary angles (two angles that sum to 180 degrees). Recognizing these relationships helps in determining unknown angles when some angles are already known.

Triangle Properties

Triangles are fundamental in trigonometry, and knowing their properties is essential. The sum of the interior angles of a triangle is always 180 degrees. This property allows for the calculation of unknown angles when at least one angle and the relationships between the angles are known.

Trigonometric Ratios

Trigonometric ratios relate the angles of a triangle to the lengths of its sides. The primary ratios—sine, cosine, and tangent—are defined as the ratios of the lengths of the sides of a right triangle. These ratios are vital for solving problems involving angles and can be used to find unknown angles when side lengths are provided.