Conversion to polar coordinates

May 21, 2013

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Polar coordinates - defined. Polar coordinates are defined in a 2-D coordinates system which measures positions in space based on 1 - radial distance2

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Conversion to polar coordinates

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Intro to Polar Coordinates

Intro to Polar Coordinates. Lesson 6.5A. •. θ. r. Points on a Plane. Rectangular coordinate system Represent a point by two distances from the origin Horizontal dist, Vertical dist Also possible to represent different ways

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Polar Coordinates Polar and Rectangular Coordinates

Polar Coordinates Polar and Rectangular Coordinates. Packet 3. Polar vs. Rectangular Coordinates. For some real-world phenomena, it is useful to be able to convert between polar coordinates and rectangular coordinates. Polar vs. Rectangular Coordinates.

1.48k views • 12 slides

Polar Coordinates

Polar Coordinates. Nate Long. Differences: Polar vs. Rectangular. POLAR. RECTANGULAR. (0,0) is called the pole Coordinates are in form (r, θ ). (0,0) is called the origin Coordinates are in form (x,y). How to Graph Polar Coordinates. Given: (3, л /3). Answer- STEP ONE.

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Polar Coordinates

Polar Coordinates. origin. pole. x-axis. polar axis. (r, ). Looks like the unit circle, but it now has a radius that extends beyond 1. To find distance on polar graph we apply Law of Cosines. d. r 2. r 1. or. Find the distance between:. Graphing Simple Polar Equations.

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Polar Coordinates

Mika Seppl: Polar Coordinates. Polar Coordinates. To define the Polar Coordinates of a plane we need first to fix a point which will be called the Pole (or the origin) and a half-line starting from the pole. This half-line is called the Polar Axis. . . . . ?. r. P(r, ?). Polar Axis. Polar Angles.

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Polar Coordinates

Polar Coordinates. Review Cartesian (or rectangular) coordinates are convenient for Measuring distance from a point to the x or y axes Translations. However, it is inconvenient for rotations and measuring distances from the origin to a given point.

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Polar Coordinates

Polar Coordinates. Lesson 6.3. •. θ. r. Points on a Plane. Rectangular coordinate system Represent a point by two distances from the origin Horizontal dist, Vertical dist Also possible to represent different ways Consider using dist from origin, angle formed with positive x-axis. (x, y).

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Polar Coordinates

Polar Coordinates. We Live on a Sphere. Polar Coordinates. Up till now, we have graphed on the Cartesian plane using rectangular coordinates In the rectangular coordinate system a point is plotted as (x, y). Polar Coordinate.

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Polar Coordinates

Polar Coordinates. Sections 6.3. Objectives. Plot point in the polar coordinate system Find multiple sets of polar coordinates for a given point Convert between polar and rectangular coordinates

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Polar Coordinates

Polar Coordinates. 11.3. What is a coordinate system?. Where’s Granny’s house? A coordinate system assigns a numerical representation of position of a point space (or the plane). Common systems: Cartesian ‘x-y’ grid Polar Cylindrical Spherical Polar. Cartesian  Polar Coordinates.

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10.3 Polar Coordinates

10.3 Polar Coordinates. One way to give someone directions is to tell them to go three blocks East and five blocks South. Another way to give directions is to point and say “Go a half mile in that direction.”.

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Polar Coordinates

Polar Coordinates. MATH 1112 S. F. Ellermeyer. Rectangular vs. Polar Coordinates. Rectangular coordinates are the usual ( x,y ) coordinates.

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Polar Coordinates

Polar Coordinates. Lesson 10.5. •. θ. r. Points on a Plane. Rectangular coordinate system Represent a point by two distances from the origin Horizontal dist, Vertical dist Also possible to represent different ways Consider using dist from origin, angle formed with positive x-axis.

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10.1 Polar Coordinates

10.1 Polar Coordinates. The Cartesian system of rectangular coordinates is not the only graphing system. This chapter explores the polar coordinate system. P. ( r , θ ). r. θ. O. (polar axis). fixed ray OA. A. We will graph in what is called the r θ -plane.

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Polar coordinates to rectangular coordinates

Polar coordinates to rectangular coordinates. Polar coordinates to rectangular coordinates. r. y. x. Example. Find the rectangular coordinates of the point (6, 210 ). x = 6 cos 210 . y = 6 sin 210 . y = -3. Rectangular coordinates to polar coordinates. r. y. …if x > 0. x.

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Polar Coordinates

Polar Coordinates. a different system of plotting points and coordinates than rectangular (x , y) it is based on the ordered pair (r , θ), where r is the distance from the origin and θ is the angle in standard position

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Intro to Polar Coordinates

Intro to Polar Coordinates. •. θ. r. Points on a Plane. Rectangular coordinate system Represent a point by two distances from the origin Horizontal dist, Vertical dist Also possible to represent different ways Consider using dist from origin, angle formed with positive x-axis. (x, y). •.

311 views • 14 slides

Polar Coordinates

Polar Coordinates. Common Coordinate Systems. There are two common coordinate systems:. Cartesian Rectangular Coordinate System. Polar Coordinate System. Understanding Polar Coordinates. 90 o. 120 o. 60 o. 150 o. 30 o. Polar angle= 150 o. Polar angle= 180 o. Polar angle= 60 o.

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Polar Coordinates

Polar Coordinates. Plotting Points Using Polar Coordinates Determining Different Representations of a Point Converting a Point from Polar Coordinates to Rectangular Coordinates Converting a Point from Rectangular Coordinates to Polar Coordinates

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Polar Coordinates

Polar Coordinates. Packet 1. Polar Coordinates. Recording the position of an object using the distance from a fixed point and an angle made from that point uses a polar coordinate system .

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Polar Coordinates

Polar Coordinates. The Sign of r and a Point’s Location in Polar Coordinates.

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Intro to Polar Coordinates

Intro to Polar Coordinates. Warm Up: If I were to turn 3 π /4 degrees from the positive x-axis and then walk out 4 units from the origin in that direction, find the coordinates of the point I would be standing on.

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