Parametric curve grapher

Plot a curve defined by x(t) and y(t) as the parameter t sweeps an interval — the natural way to draw circles, Lissajous figures, spirals and roses that no single y=f(x) can. Pick a preset or type your own expressions; it samples the pair, auto-scales, and draws the curve in your browser.

x = cos t, y = sin t, t ∈ [0, 2π] — the tool shows every step in between, not just the final figure.

Homework and site work alike: how much paint a wall takes, how much water a tank holds, whether a corner is square — and, on the coordinate side, the slope between two points, the distance across a plan, the midpoint of a span.

Mixing units inside one shape. Entering a length in centimetres and a width in metres gives an area wrong by a factor of a hundred, and the result looks perfectly plausible.

They sit next to each other but answer different questions. Null Space Calculator (basis of Nul(A), nullity, parametric solution): solve Ax = 0 for any matrix up to 8×8: a basis of the kernel in exact fractions and in cleared integers, the free variables, the parametric solution, the rank–nullity check and A·v = 0 verified exactly. Pick whichever matches what you're starting from — both are free.

Function Grapher is the closest one after this: Plot up to three functions f, g and h over a custom x- and y-range on an interactive canvas.

System of Inequalities Grapher and Trigonometric Function Grapher — they come up in the same task often enough to be worth a second tab.

The formulas are the classical ones and the results are exact to the precision shown — geometry does not change with the year or the country, so nothing here needs updating.