Trigonometry
Master trigonometric concepts through interactive visualizations. Explore the unit circle, wave functions, and fundamental identities.
Interactive Visualizations
Explore trigonometry concepts step by step
Unit Circle Explorer
BeginnerInteractive unit circle showing angles, coordinates, and all six trig functions
Trigonometric Functions
BeginnerVisualize sin, cos, tan and their graphs with interactive controls
Trigonometric Identities
IntermediateProve and visualize fundamental trig identities geometrically
Wave Functions
IntermediateExplore sine and cosine waves, harmonics, and interference
Key Concepts
The Unit Circle
A circle with radius 1 centered at the origin. Every angle corresponds to a point (cos θ, sin θ) on this circle, providing a geometric foundation for all trig functions.
Six Trigonometric Functions
Sine, cosine, tangent, cosecant, secant, and cotangent each represent different ratios in a right triangle or coordinates on the unit circle.
Periodic Nature
Trig functions repeat their values in regular intervals (periods). Sin and cos have period 2π, while tan has period π. This makes them perfect for modeling waves and cycles.
Fundamental Identities
Equations like sin²θ + cos²θ = 1 hold for all angles. These identities are essential tools for simplifying expressions and solving equations.