Trigonometry Fundamentals

Explore triangles, angles, and waves through interactive visualizations and hands-on problem solving.

Understanding Trigonometry Basics

Trigonometry starts with ratios of right triangles: sine, cosine, and tangent. These define relationships between angles and side lengths.

sin(θ) = opposite/hypotenuse
cos(θ) = adjacent/hypotenuse
tan(θ) = opposite/adjacent

Example: 30° angle in a 3-4-5 triangle

The unit circle extends trigonometry beyond triangles into periodic functions. It connects angles to coordinate points on a circle of radius 1.

(cosθ, sinθ) = coordinates on the unit circle

Study sine and cosine waves, their amplitudes, frequencies, and real-world applications in sound and light.

Master angle addition, double-angle formulas, and Pythagorean identities with practice problems.

Solve for angles using inverse sine, cosine, and tangent functions in various applications.

Dive deeper into right triangles, polar coordinates, and harmonic motion through interactive exercises.