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Elementary Trigonometry
Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.
- Author
- Richard W. Beveridge
- Publisher
- Clatsop Community College
- Source
- LibreTexts
- License
- CC BY-NC-SA
- Language
- EN
- Category
- Basic Sciences
Contents· 22 sections
- 01: Right Triangle Trigonometry
- 1.01: Measuring Angles
- 1.02: The Trigonometric Ratios
- 1.03: Solving Triangles
- 1.04: Applications
- 1.05: More Applications
- 02: Graphing the Trigonometric Functions
- 2.01: Trigonometric Functions of Non-Acute Angles
- 2.02: Graphing Trigonometric Functions
- 2.03: The Vertical Shift of a Trigonometric Function
- 2.04: Phase Shift
- 2.05: Combining the Transformations
- 03: Trigonometric Identities and Equations
- 3.01: Reciprocal and Pythagorean Identities
- 3.02: Double-Angle Identities
- 3.03: Trigonometric Equations
- 3.04: More Trigonometric Equations
- 04: The Law of Sines and The Law of Cosines
- 4.01: The Law of Sines
- 4.02: The Law of Sines - the ambiguous case
- 4.03: The Law of Cosines
- 4.04: Applications