Interactive Pre-Calculus Simulations

Drag zeros and watch polynomial curves reshape in real time

Hunt for asymptotes, holes, and intercepts of rational functions

Reflect functions across y = x to build their inverses

Spin angles in degrees and radians, positive and negative

Stretch arcs and resize sectors on a live circle

Connect angular and linear speed on a spinning wheel

Build sine, cosine, and tangent from a right triangle you control

Walk the unit circle and see coordinates become trig values

Find reference angles in all four quadrants

Identify trig functions from clues, like a detective

Solve real problems with right triangles -- height, distance, angles

Dissect amplitude, period, and phase shift on a live wave

Stack transformations to match a target sinusoidal graph

Write the equation that matches a given periodic graph

Explore tangent, cotangent, secant, and cosecant curves

Restrict domains to make trig functions invertible

See Pythagorean and double-angle identities on the unit circle

Derive sum, difference, and double-angle formulas step by step

Solve trig equations graphically and algebraically

Solve any triangle with the Law of Sines and Cosines

Convert between polar and rectangular coordinates

Plot roses, cardioids, and spirals in polar coordinates

Visualize complex numbers and their operations on a plane

Trace parametric curves and connect them to Cartesian graphs

Add, scale, and decompose vectors graphically

Slice a cone and watch conic sections form

Reshape ellipses and hyperbolas by dragging foci

Move the focus and directrix to reshape a parabola

Race arithmetic vs. geometric sequences to see growth patterns

Test series for convergence with ratio and comparison tests

Expand binomials and connect coefficients to Pascal's triangle