Trigonometry
From Teach And Discover Wiki
Welcome to the Trigonometry course page.
Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics that deals with triangles, particularly those plane triangles in which one angle has 90 degrees (right triangles). Trigonometry deals with relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those relationships.
Trigonometry has applications in both pure mathematics and in applied mathematics, where it is essential in many branches of science and technology. It is usually taught in secondary schools either as a separate course or as part of a Pre-Calculus course. Trigonometry is informally called “trig.”
A branch of trigonometry, called spherical trigonometry, studies triangles on spheres, and is important in Astronomy and navigation.
Contents |
Course Outline
Introduction to Trigonometry
- Introduction
- Core concepts of trigonometry
- Radian and degree measures
- The unit circle
- Trigonometric Angular Functions
- Quadratic Functions
- Right Angle Trigonometry
- Trigonometric Identities
- Graphs of Sine and Cosine Functions
- Graphs of Other Trigonometric Functions
- Inverse Trigonometric Functions
- Applications and Models
Analytical Trigonometry
- Using Fundamental Identities
- Verifying Trigonometric Identities
- Solving Trigonometric Equations
- Sum and Difference Formulas
- Multiple-Angle and Product-to-sum Formulas
Additional Topics in Trigonometry
- Law of Sines
- Law of Cosines
- Solving Triangles
- Vectors in the Plane
- Vectors and Dot Products
- Trigonometric Form of the Complex Number
