Basic Trigonometry

Trigonometry

Select an assignment from one of the sections listed below.

Section 1 - Angles

1-1   Introduction to Angles
1-2   Terms
1-3   Angles Defined
1-4   Problems
1-5   Measuring Angles
1-6   Problems
1-7   The Coordinate Plane
1-8   Problems
1-9   Vectors
1-10 Problems
1-11 Standard Position
1-12 Problems

Section 2 - Graphs

2-1 Graphing Trigonometric Functions
2-2 Terms
2-3 Graphing Functions
2-4 Problems
2-5 Graphs of Trigonometric Functions
2-6 Problems
2-7 Horizontal and Vertical Shifts
2-8 Problems
2-9 Vertical and Horizontal Stretches
2-10 Problems

Section 3 - Trigonometric Equations

3-1 Trigonometric Equations
3-2 Terms and Formulae
3-3 Solving General Equations
3-4 Problems
3-5 Inverse Trigonometric Relations
3-6 Problems
3-7 Inverse Trigonometric Functions
3-8 Problem

Section 4 - Trigonometric Functions

4-1 Trigonometric Functions
4-1 Terms and Formulae
4-1 Functions
4-1 Trigonometric Functions
4-1 Problems
4-1 Problems
4-1 Reference Angles
4-1 Problems
4-1 The Unit Circle
4-1 Problems

Section 5 - Trigonometric Identities

5-1 Trigonometric Identities
5-2 Key Terms
5-3 Eight Fundamental Trigonometric Identities
5-4 Negative Angle Identities
5-5 Problems
5-7 Problems
5-8 Review of Functions and Angles
5-9 Problems

Section 6 - Solving Oblique Triangles

6-1 Solving Oblique Triangles
6-2 Formulae
6-3 Oblique Triangle Review
6-4 The Law of Sines
6-5 Problems
6-6 The Ambiguous Case
6-7 Problems
6-8 The Law of Cosines
6-9 Problems
6-10 Area of a Triangle
6-11 Problems

Section 7 - Solving Right Triangles

7-1 Solving Right Triangles
7-2 Terms and Formulae
7-3 Right Triangle Review
7-4 Techniques for Solving
7-5 Problems
7-6 Applications
7-7 Problems

Section 8 - More Trigonometric Identities

8-1 Multiple Angles and Functions
8-2 Formulae
8-3 Double and Half-Angle Formulas
8-4 Problems

8-6 Problems

8-7 Products of Functions
8-8 Problems

8-9 Sums and Differences of Functions
8-10 Problems

Trigonometry Review Test

 What Is Trigonometry? Trigonometry is an important, fundamental step in math education. From the seemingly simple shape, the right triangle, we gain tools and insight that help us in further practical as well as theoretical endeavors. The subtle mathematical relationships between the right triangle, the circle, the sine wave, and the exponential curve can only be fully understood with a firm basis in trigonometry. From Wikibooks, the open-content textbooks collection

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