Ellipse: Oriented Rotation 1

[b]Proposition:[/b] Given an ellipse rotated by ∡θ, determine the relationships among the values a, b, θ, and the equations i) Ax² −2Bxy + Cy² = F ii) x²/a² + y²/b² =1 iii) Parametric equation r(t) = a u + b v _________________________ Ellipse Rotation, (1 of 3): [b]→1: Converting between standard form and parametric equations.[/b] 2: Resolving discontinuities for the full range, 0 ≤ θ≤ 2π. [url]http://www.geogebratube.org/material/show/id/45026[/url] 3. Determine the half-axis lengths and orientation, disambiguate tan(θ) for limit cases: [url]http://www.geogebratube.org/material/show/id/45924[/url]

 

Ryan Hirst

 
Resource Type
Activity
Tags
conic  equations  parametric  practice  sections 
Target Group (Age)
19+
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English (United States)
 
 
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4.2
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