Parametric Curves: Example 10: The Cycloid: Proof Part 4

In this video I look further into the cycloid and this time show how we can remove the angle in the parametric equations to obtain a Cartesian equation involving x and y only. The resulting equation is much more complicated than the original parametric equations, and in fact is only applicable along a specific interval, due to the inverse trig function involved in the derivation. This is a great exercise in showing how to go from parametric equation form to Cartesian form so make sure to watch this video!

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Parametric Curves: Example 9: The Cycloid: Proof Part 3: https://youtu.be/4VuYJRFAI_g Parametric Curves: Example 8: The Cycloid: Proof Part 2: https://youtu.be/_LAmOMbXXts Parametric Curves: Example 7: The Cycloid: Proof Part 1: https://youtu.be/XmHpIZqeRKk Parametric Curves: Example 6: Graphing Devices: https://youtu.be/cwpEasc9mhQ Parametric Curves: Example 5: Lissajous Figure: https://youtu.be/0OT1OnnAQ9I Parametric Curves: Example 4: https://youtu.be/WZYIS1My-g4 Parametric Curves: Example 3: https://youtu.be/VpiJdEviBbk Parametric Curves: Example 2: https://youtu.be/SBkzZDlqTTE Parametric Curves: Example 1: https://youtu.be/0k7QyWa9-HA Parametric Equations and Curves: https://youtu.be/Kd3XF4LZoFE Parametric Equations and Polar Coordinates: https://youtu.be/usSors49Gdw Inverse Trigonometric Functions: Inverse cosine, sine, and tan Functions: http://youtu.be/Ifv1vkJZdrk Trigonometry Identities: Proof that sin^2(x) + cos^2(x) = 1: http://youtu.be/o-fAx_96lgw .

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