Graphing Points in Polar
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are polar coordinates?
Back
Polar coordinates are a two-dimensional coordinate system where each point is determined by a distance from a reference point (the pole) and an angle from a reference direction (the polar axis).
Tags
CCSS.HSN.CN.B.4
2.
FLASHCARD QUESTION
Front
How do you convert polar coordinates to rectangular coordinates?
Back
To convert polar coordinates (r, θ) to rectangular coordinates (x, y), use the formulas: x = r * cos(θ) and y = r * sin(θ).
Tags
CCSS.HSN.CN.B.4
3.
FLASHCARD QUESTION
Front
What is the significance of the angle in polar coordinates?
Back
The angle in polar coordinates determines the direction of the point from the origin, measured counterclockwise from the positive x-axis.
Tags
CCSS.HSN.CN.B.4
4.
FLASHCARD QUESTION
Front
What does a negative radius indicate in polar coordinates?
Back
A negative radius indicates that the point is in the opposite direction of the angle specified.
Tags
CCSS.HSN.CN.B.4
5.
FLASHCARD QUESTION
Front
How can the same point in polar coordinates be represented in different ways?
Back
A point (r, θ) can also be represented as (-r, θ + π) or (r, θ + 2kπ) for any integer k.
Tags
CCSS.HSN.CN.B.4
6.
FLASHCARD QUESTION
Front
What is the polar coordinate for the point at (0, 0)?
Back
The polar coordinate for the origin is (0, θ) for any angle θ.
Tags
CCSS.HSN.CN.B.4
7.
FLASHCARD QUESTION
Front
How do you find the angle for a given point in polar coordinates?
Back
The angle θ can be found using the arctangent function: θ = arctan(y/x) for rectangular coordinates (x, y).
Tags
CCSS.HSN.CN.B.4
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