Converting Polar and Rectangular

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•
Mathematics
•
12th Grade
•
Hard
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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.
2.
FLASHCARD QUESTION
Front
How do you convert polar coordinates (r, θ) to rectangular coordinates (x, y)?
Back
Use the formulas: x = r * cos(θ) and y = r * sin(θ).
3.
FLASHCARD QUESTION
Front
What is the relationship between rectangular coordinates (x, y) and polar coordinates (r, θ)?
Back
The relationship is given by: r = √(x² + y²) and θ = tan⁻¹(y/x).
4.
FLASHCARD QUESTION
Front
Convert the polar coordinates (3, π/4) to rectangular form.
Back
(3 * cos(π/4), 3 * sin(π/4)) = (3√2/2, 3√2/2).
5.
FLASHCARD QUESTION
Front
What is the polar coordinate of the point (0, 0) in rectangular coordinates?
Back
The polar coordinate is (0, θ) for any angle θ.
6.
FLASHCARD QUESTION
Front
Back
7.
FLASHCARD QUESTION
Front
What is the polar coordinate of the point (2, 2) in rectangular coordinates?
Back
The polar coordinates are (2√2, π/4).
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