4.2 Trigonometry
Ramp up on the fundamentals of trigonometry as you master identities, polar graphic, and solving triangles.
Defining Angles
Trigonometric Ratios
The Unit Circle
Solving Right Triangles
Solving for Angles
Law of Cosines
Law of Sines
Ambiguous Cases
Trigonometry Graphs
Other Trigonometric Graphs
Trigonometric Graph Problem Solving
Trigonometric Graph Symmetry
Inverse Trigonometry
Polar Coordinates
Roses, Cardioids and Limaçon
Function Transformations
Reciprocal and Quotient Identities
Triangle Identities
Sum and Difference Identities
Double- and Half-Angle Identities
Course description
This course will teach you all of the fundamentals of trigonometry, starting from square one: the basic idea of similar right triangles. In the first sequences in this course, you'll learn the definitions of the most common trigonometric functions from both a geometric and algebraic perspective. In this course, you'll master trigonometry by solving challenging problems and interacting with animated graphs, not by relying on rote memorization. Additionally, you'll learn how to apply trigonometry in the contexts of measuring and manipulating sound waves and creating complex, artistic designs using polar graphing. By the end of this course, you’ll be a master at solving triangles, graphing trig functions in both Cartesian and polar coordinates, and applying trigonometric identities.
Topics covered
- Cosine
- Inverse Trig Functions
- Law of Cosines
- Law of Sines
- Polar Coordinates
- Sine
- Tangent
- The Unit Circle
- Trigonometric Identities
- Wave Frequency
Prerequisites and next steps
You should know the content up through our Algebra II course.
Prerequisites
Up next
5.1 Functions
Learn about functions and how to work with them. Then, take a deep dive into quadratics.
Jump ahead