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PreCalculus Name: Unit 5B Review Guide Date: Period: Graphing Calculator Allowed on Entire Test!1. Convert the rectangular coordinates to polar form: a) (4, 4)b) (5, 53)2. Convert the polar coordinates
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How to fill out polar and cartesian coordinates
How to fill out polar and cartesian coordinates
01
To fill out polar coordinates, follow these steps:
02
Determine the length or magnitude of the coordinate from the origin.
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Determine the angle or direction of the coordinate from the positive x-axis, measured counterclockwise.
04
Represent the coordinate in the form (r, θ), where r denotes the magnitude and θ denotes the angle.
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To fill out cartesian coordinates, follow these steps:
07
Identify the x-coordinate (the horizontal distance from the origin).
08
Identify the y-coordinate (the vertical distance from the origin).
09
Represent the coordinate in the form (x, y), where x denotes the horizontal distance and y denotes the vertical distance.
Who needs polar and cartesian coordinates?
01
Polar coordinates are used by:
02
- Engineers and scientists in fields such as physics, astronomy, and engineering for complex calculations involving circular or spherical systems.
03
- Navigators and pilots in aviation and marine navigation to determine positions and headings.
04
- Mathematicians and mathematic students studying advanced geometry and trigonometry.
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Cartesian coordinates are needed by:
07
- Engineers and architects for designing structures and layouts in two-dimensional space.
08
- Programmers and computer scientists for graphics and game development using Cartesian coordinate systems.
09
- Math students studying algebra and geometry as it provides a foundation for many mathematical concepts.
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What is polar and cartesian coordinates?
Polar coordinates represent a point in terms of its distance from a reference point and an angle from a reference direction, while Cartesian coordinates represent a point in terms of its distance along perpendicular axes (x and y).
Who is required to file polar and cartesian coordinates?
Individuals and entities that need to report locations in a specific format for scientific, engineering, or geographical analysis would be required to file polar and Cartesian coordinates.
How to fill out polar and cartesian coordinates?
To fill out polar coordinates, specify the radius (distance from origin) and the angle (measured in degrees or radians). To fill out Cartesian coordinates, provide the x and y values that represent the position on the grid.
What is the purpose of polar and cartesian coordinates?
The purpose of polar and Cartesian coordinates is to accurately define the position of points in a two-dimensional space and facilitate calculations in various fields such as mathematics, physics, and engineering.
What information must be reported on polar and cartesian coordinates?
When reporting in polar coordinates, you must provide the radius and angle. For Cartesian coordinates, you must report the x and y values.
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