Parametric Curve Grapher
Plot parametric curves defined by x(t) and y(t) and download the graph as PNG.
What Is the Parametric Curve Grapher?
A parametric curve is defined by two functions of a parameter t. This plotter lets you visualize shapes like circles (cos(t), sin(t)), spirals, and Lissajous figures that cannot be expressed as y = f(x).
Formula
How to Use
Enter x(t) and y(t) expressions using t as the parameter. Set the t range (start and end values). Click Plot to render the curve. Download the result as PNG.
Example Calculation
To plot a circle: set x(t) = cos(t) and y(t) = sin(t) with t from 0 to 6.28. To plot a Lissajous: x(t) = sin(3t), y(t) = sin(4t) from 0 to 6.28.
Understanding Parametric Curve Grapher
Parametric Curve Grapher is a free online tool that helps you solve real-world problems instantly. Whether you are a student, professional, or curious learner, this calculator provides accurate results with clear explanations.
Our tool uses proven mathematical formulas and algorithms to deliver precise calculations. All computations happen in your browser — no data is sent to any server.
Bookmark this page for quick access whenever you need to perform parametric curve grapher calculations.
Frequently Asked Questions
What is a parametric curve?
A parametric curve uses a third variable t (the parameter) to define both x and y coordinates, allowing you to trace curves that double back on themselves.
Can I plot a helix?
For 2D, yes use x(t)=t*cos(t) and y(t)=t*sin(t) to get a spiral.
What t range should I use?
For trigonometric functions, 0 to 6.283 (2π) is typical. For spirals try 0 to 20.
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