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#4: Post edited by user avatar deleted user · 2021-08-08T08:58:01Z (about 1 year ago)
  • Find $y=a\cos^3\theta$ and, $x=b\sin^3\theta$ from hypocycloid's formula
  • Find $y=b\cos^3\theta$ and, $x=a\sin^3\theta$ from hypocycloid's formula
  • Here's the equation for hypocycloid $$(\frac{x}{a})^{\dfrac{2}{3}}+(\frac{y}{b})^{\dfrac{2}{3}}=1$$
  • Now, I have to find an equation for x and y. I can simply find by simple algebra. But, my book had used parametric equation, and they wrote
  • $$y=a\cos^3\theta, x=b\sin^3\theta$$
  • How to find [parametric equation](https://en.wikipedia.org/wiki/Parametric_equation)? I don't have separated equation for x and y so, I can't do [this way](https://youtu.be/97pe-QlSGqA?t=715)
  • Here's the equation for hypocycloid $$(\frac{x}{a})^{\dfrac{2}{3}}+(\frac{y}{b})^{\dfrac{2}{3}}=1$$
  • Now, I have to find an equation for x and y. I can simply find by simple algebra. But, my book had used parametric equation, and they wrote
  • $$y=b\cos^3\theta, x=a\sin^3\theta$$
  • How to find [parametric equation](https://en.wikipedia.org/wiki/Parametric_equation)? I don't have separated equation for x and y so, I can't do [this way](https://youtu.be/97pe-QlSGqA?t=715)
#3: Post edited by user avatar deleted user · 2021-08-08T08:57:09Z (about 1 year ago)
  • Find $x=a\cos^3\theta$ and, $y=b\sin^3\theta$ from hypocycloid's formula
  • Find $y=a\cos^3\theta$ and, $x=b\sin^3\theta$ from hypocycloid's formula
  • Here's the equation for hypocycloid $$(\frac{x}{a})^{\dfrac{2}{3}}+(\frac{y}{b})^{\dfrac{2}{3}}=1$$
  • Now, I have to find an equation for x and y. I can simply find by simple algebra. But, my book had used parametric equation, and they wrote
  • $$x=a\cos^3\theta, y=b\sin^3\theta$$
  • How to find [parametric equation](https://en.wikipedia.org/wiki/Parametric_equation)? I don't have separated equation for x and y so, I can't do [this way](https://youtu.be/97pe-QlSGqA?t=715)
  • Here's the equation for hypocycloid $$(\frac{x}{a})^{\dfrac{2}{3}}+(\frac{y}{b})^{\dfrac{2}{3}}=1$$
  • Now, I have to find an equation for x and y. I can simply find by simple algebra. But, my book had used parametric equation, and they wrote
  • $$y=a\cos^3\theta, x=b\sin^3\theta$$
  • How to find [parametric equation](https://en.wikipedia.org/wiki/Parametric_equation)? I don't have separated equation for x and y so, I can't do [this way](https://youtu.be/97pe-QlSGqA?t=715)
#2: Post edited by user avatar deleted user · 2021-08-08T08:44:44Z (about 1 year ago)
  • Here's the equation for hypocycloid $$(\frac{x}{a})^{\dfrac{2}{3}}+(\frac{y}{b})^{\dfrac{2}{3}}=1$$
  • Now, I have to find an equation for x and y. I can simply find by simple algebra. But, my book had used parametric equation, and they wrote
  • $$x=a\cos^3\theta, y=b\sin^3\theta$$
  • How to find [parametric equation](https://en.wikipedia.org/wiki/Parametric_equation)?
  • Here's the equation for hypocycloid $$(\frac{x}{a})^{\dfrac{2}{3}}+(\frac{y}{b})^{\dfrac{2}{3}}=1$$
  • Now, I have to find an equation for x and y. I can simply find by simple algebra. But, my book had used parametric equation, and they wrote
  • $$x=a\cos^3\theta, y=b\sin^3\theta$$
  • How to find [parametric equation](https://en.wikipedia.org/wiki/Parametric_equation)? I don't have separated equation for x and y so, I can't do [this way](https://youtu.be/97pe-QlSGqA?t=715)
#1: Initial revision by user avatar deleted user · 2021-08-08T08:41:29Z (about 1 year ago)
Find $x=a\cos^3\theta$ and, $y=b\sin^3\theta$ from hypocycloid's formula
Here's the equation for hypocycloid $$(\frac{x}{a})^{\dfrac{2}{3}}+(\frac{y}{b})^{\dfrac{2}{3}}=1$$

Now, I have to find an equation for x and y. I can simply find by simple algebra. But, my book had used parametric equation, and they wrote 

$$x=a\cos^3\theta, y=b\sin^3\theta$$

How to find [parametric equation](https://en.wikipedia.org/wiki/Parametric_equation)?