What is the relationship between x, y, and R in polar coordinates?

Converting Polar to Rectangular Equations

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

Thomas White
FREE Resource
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28 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x^2 + y^2 = R^2
x^2 - y^2 = R^2
x^2 - y^2 = 2R
x^2 + y^2 = 2R
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you express R in terms of x and y?
R = sqrt(x^2 - y^2)
R = x - y
R = sqrt(x^2 + y^2)
R = x + y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the tangent of theta in terms of x and y?
tan(theta) = x^2/y^2
tan(theta) = y^2/x^2
tan(theta) = y/x
tan(theta) = x/y
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you express x in terms of R and theta?
x = R * sin(theta)
x = R * cos(theta)
x = R / sin(theta)
x = R / cos(theta)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for y in terms of R and theta?
y = R / cos(theta)
y = R / sin(theta)
y = R * cos(theta)
y = R * sin(theta)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example R = 8 sin(theta), what is the first step to convert to rectangular form?
Subtract R from both sides
Add R to both sides
Multiply both sides by R
Divide both sides by R
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does R sin(theta) equal in rectangular coordinates?
y
x
R
theta
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