如何计算Parametric Equations
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Parametric equations express x and y as separate functions of a parameter t, enabling curves that cannot be written as y=f(x). Used for motion paths, Lissajous figures, and cycloids.
分步指南
- 1x = f(t) · y = g(t)
- 2Circle: x=r cos t, y=r sin t, t∈[0,2π]
- 3Eliminate t to find implicit Cartesian equation
例题解析
输入
x=cos(t), y=sin(t), t: 0 to 2π
结果
Traces unit circle x²+y²=1
Parametric → Cartesian by cos²+sin²=1
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