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Elementary Trigonometry
This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed. A brief tutorial on using Gnuplot to graph trigonometric functions is included.
- Author
- Michael Corral
- Publisher
- Schoolcraft College
- Source
- LibreTexts
- License
- GNU FDL
- Language
- EN
- Category
- Basic Sciences
Contents· 37 sections
- 01: Right Triangle Trigonometry Angles
- 1.0E: 1.E: Right Triangle Trigonometry Angles (Exercises)
- 1.01: Angles
- 1.02: Trigonometric Functions of an Acute Angle
- 1.03: Applications and Solving Right Triangles
- 1.04: Trigonometric Functions of Any Angle
- 1.05: Rotations and Reflections of Angles
- 02: General Triangles
- 2.0E: 2.E: General Triangles (Exercises)
- 2.01: The Law of Sines
- 2.02: The Law of Cosines
- 2.03: The Law of Tangents
- 2.04: The Area of a Triangle
- 2.05: Circumscribed and Inscribed Circles
- 03: Identities
- 3.0E: 3.E: Identities (Exercises)
- 3.01: Basic Trigonometric Identities
- 3.02: Sum and Difference Formulas
- 3.03: Double-Angle and Half-Angle Formulas
- 3.04: Other Identities
- 04: Radian Measure
- 4.0E: 4.E: Radian Measure (Exercises)
- 4.01: Radians and Degrees
- 4.02: Arc Length
- 4.03: Area of a Sector
- 4.04: Circular Motion- Linear and Angular Speed
- 05: Graphing and Inverse Functions
- 5.0E: 5.E: Graphing and Inverse Functions (Exercises)
- 5.01: Graphing the Trigonometric Functions
- 5.02: Properties of Graphs of Trigonometric Functions
- 5.03: Inverse Trigonometric Functions
- 06: Additional Topics
- 6.0E: 6.E: Additional Topics (Exercises)
- 6.01: Solving Trigonometric Equations
- 6.02: Numerical Methods in Trigonometry
- 6.03: Complex Numbers
- 6.04: Polar Coordinates