Learn how to write a polar equation in rectangular form

Interactive Video
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Mathematics
•
11th Grade - University
•
Hard
Wayground Content
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between polar and rectangular coordinates?
X = θ sin(R), Y = θ cos(R)
X = θ cos(R), Y = θ sin(R)
X = R cos(θ), Y = R sin(θ)
X = R sin(θ), Y = R cos(θ)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to multiply by R when converting equations?
To convert the equation to vertex form
To simplify the equation
To introduce R sin(θ) and R cos(θ) terms
To eliminate R from the equation
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the equation R² = R sin(θ) - 4R cos(θ) help achieve?
It simplifies the equation to vertex form
It introduces X and Y terms
It allows for the elimination of R
It converts the equation to polar form
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the equation discussed in the last section?
X² + Y² = 2Y - 4X
X² + Y² = 4Y - 2X
X² + Y² = 4X - 2Y
X² + Y² = 2X - 4Y
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step hinted at for the equation X² + Y² = 2Y - 4X?
Converting to polar form
Completing the square
Solving for Y
Finding the vertex
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