
Understanding Parametric Equations for Ellipses

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary mathematical identity used to derive parametric equations for the ellipse?
Quadratic identity
Logarithmic identity
Pythagorean identity
Exponential identity
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the given ellipse equation x^2/25 + y^2/49 = 1 be rewritten using trigonometric functions?
x/5 = sin(θ) and y/7 = cos(θ)
x/5 = sec(θ) and y/7 = csc(θ)
x/5 = cos(θ) and y/7 = sin(θ)
x/5 = tan(θ) and y/7 = cot(θ)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the parametric equations derived for the ellipse when x/5 = cos(t) and y/7 = sin(t)?
x = 5sin(t), y = 7cos(t)
x = 5sec(t), y = 7csc(t)
x = 5cos(t), y = 7sin(t)
x = 5tan(t), y = 7cot(t)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the orientation of the ellipse when using the parametric equations x = 5cos(t) and y = 7sin(t)?
Counterclockwise
Clockwise
Horizontal
Vertical
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the orientation of the ellipse change when using x = 5sin(t) and y = 7cos(t)?
It becomes vertical
It becomes counterclockwise
It becomes clockwise
It remains the same
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of parametric equations in terms of motion representation?
They eliminate the need for trigonometric functions.
They provide a static representation of curves.
They simplify complex equations.
They allow for animation or movement representation over time.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about parametric equations?
They are only used for circles.
They cannot represent ellipses.
They can represent the same curve with different orientations.
They are unique for every curve.
Tags
CCSS.HSG.GPE.A.1
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