11 Services from math-geometry.x402tookit.com

Computes dot product, cross product, magnitudes, angle, projection, unit vectors, and distance between two vectors.

Computes sine, cosine, tangent, and reciprocal trig functions for an angle (in degrees or radians), including exact symbolic values at special angles and inverse trig functions.

Solves a triangle from any three known sides/angles (including ambiguous SSA), returning all sides, angles, area, perimeter, inradius, and circumradius.

Computes area, perimeter, surface area, and volume for 2D and 3D geometric shapes including circles, polygons, spheres, cylinders, cones, boxes, tori, and more.

Computes the n-th term, partial sum, and infinite sum (when convergent) for arithmetic and geometric sequences, plus Fibonacci and Lucas numbers up to index 5000.

Solves ax² + bx + c = 0 and returns real or complex roots, discriminant, vertex, axis of symmetry, factored form, and other properties.

Computes matrix determinant, inverse, transpose, rank, trace, eigenvalues, and matrix multiplication for 2x2 and 3x3 matrices.

Solves a system of linear equations Ax = b for up to 6 unknowns, returning the solution vector, rank, determinant, and classification (unique/none/infinite solutions).

Solves a cubic equation given coefficients a, b, c, d and returns all three roots (real and complex) using Cardano's formula and the trigonometric method.

Solves plane geometry problems from coordinates: line equations, distances, circles through three points, polygon areas, and line intersections.

Performs arithmetic, modulus, argument, powers, roots, polar/rectangular conversion, and conjugate operations on complex numbers.