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Questions and Answers
What is the reference point in the polar coordinate system called?
What is the reference point in the polar coordinate system called?
- Axis
- Pole (correct)
- Origin
- Center
What is the distance from the pole called in the polar coordinate system?
What is the distance from the pole called in the polar coordinate system?
- Cartesian distance
- Radial coordinate (correct)
- Polar distance
- Angular distance
Who introduced the concept of polar coordinates in the mid-17th century?
Who introduced the concept of polar coordinates in the mid-17th century?
- Isaac Newton
- Bonaventura Cavalieri
- Grégoire de Saint-Vincent (correct)
- Gregorio Fontana
In which context are polar coordinates most appropriate?
In which context are polar coordinates most appropriate?
How are angles generally expressed in polar notation?
How are angles generally expressed in polar notation?
What is the reference point in the polar coordinate system called?
What is the reference point in the polar coordinate system called?
What is the distance from the pole called in the polar coordinate system?
What is the distance from the pole called in the polar coordinate system?
How are angles generally expressed in polar notation?
How are angles generally expressed in polar notation?
Who introduced the concept of polar coordinates in the mid-17th century?
Who introduced the concept of polar coordinates in the mid-17th century?
In which context are polar coordinates most appropriate?
In which context are polar coordinates most appropriate?
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Study Notes
Polar Coordinate System
- The reference point in the polar coordinate system is called the pole.
- The distance from the pole is called the radius or radial distance.
History
- The concept of polar coordinates was introduced by Gregoire de Saint-Vincent in the mid-17th century.
Applicability
- Polar coordinates are most appropriate in contexts where there is a natural center or origin, such as navigation, physics, engineering, and astronomy.
Notation
- Angles in polar notation are generally expressed in radians or degrees, usually counterclockwise from the positive x-axis.
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