Interactive 3D · Graphs · WebXR · Grade 8 → University
Explore sine, cosine, and tangent through immersive simulations. Drag angles on the unit circle, build wave equations, solve triangles, and step into AR/VR — all with live MathJax formulas.
Angles, sin, cos & tan
Drag the angle around the unit circle and watch sin, cos, and tan update in real time with 3D visualization.
sin, cos, tan compared
Overlay sine, cosine, and tangent on the same axes and explore how they relate on the unit circle.
SOH · CAH · TOA
Interactive right triangle — adjust angles and sides to see opposite, adjacent, and hypotenuse relationships.
Amplitude, frequency & phase
Build y = A·sin(Bx + C) + D and watch the graph transform live with labeled parameters.
Sound & light waves
Simulate traveling sine waves in 3D — adjust wavelength, frequency, and amplitude.
arcsin, arccos, arctan
Explore inverse functions — given a ratio, find the angle. Restricted domains visualized on graphs.
Pythagorean & double-angle
Interactive proofs and sliders that verify sin²θ + cos²θ = 1 and other key identities.
Shift, stretch & reflect
See how vertical/horizontal shifts, stretches, and reflections change trig graphs step by step.
r and θ
Plot polar curves r = f(θ) — roses, cardioids, and spirals in an interactive polar grid.
e^(iθ) & De Moivre
Visualize complex numbers on the Argand plane — multiply, rotate, and see Euler's formula in action.
Spherical coordinates
Explore angles in 3D space — elevation, azimuth, and distances on a sphere.
Dot product & angles
Two vectors in 3D — measure the angle between them using cos θ = (a·b)/(|a||b|).
Test your knowledge
Multiple-choice questions on unit circle values, identities, and triangle solving with instant feedback.
Timed problems
Race against the clock — solve trig problems and climb the leaderboard.
Complete reference
Searchable library of every trig formula — unit circle, identities, laws of sines & cosines.
Augmented reality
Place the unit circle and trig graphs in your real environment using WebXR AR.
Virtual reality lab
Step inside a virtual trig laboratory — walk around 3D graphs and the unit circle in VR.