Determine polar coordinates of the points with Cartesian coordinates ( - 1 , 0 ) , ( 3 square...

Question:

Determine polar coordinates of the points with Cartesian coordinates {eq}(-1,0),(3\sqrt{3}),(-2,-2) {/eq} and {eq}(1,-\frac{1}{\sqrt{3}}) {/eq}.

Polar Coordinates

Coordinate system is a method of locating a point in space (either 2-dimensional or 3-dimensional) by measuring its position relative to reference axes. Rectangular coordinate system or the Cartesian coordinate system makes use of vertical and horizontal axes as reference point. Polar coordinate system, on the other hand, uses the angle formed with respect to reference direction and radial distance with respect to a reference point. Transformation from Cartesian coordinates {eq}(x, y) {/eq} to polar coordinates {eq}(r, \theta ) {/eq} is possible using the appropriate transformation formula.

Answer and Explanation: 1

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Conversion from Cartesian coordinates to polar coordinates can be done using the transformation:

{eq}\displaystyle (x,y) \rightarrow (r, \theta)...

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Graphing Functions in Polar Coordinates: Process & Examples

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Chapter 24 / Lesson 1
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Learn how to graph polar equations and plot polar coordinates. See examples of graphing polar equations. Transform polar to rectangular coordinates and vice versa.


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