Q. 85 In converting from polar coordin... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 9: Q. 85 (page 568)

In converting from polar coordinates to rectangular coordinates, what formulas will you use?

Short Answer

Expert verified

To convert polar coordinates $(r, 胃)$ to rectangular coordinates $(x, y)$ we use the formulas

$x = r \cos 胃 y = r \sin 胃$

Step by step solution

Step 1. Given

In a rectangular coordinate system a point in the plane is represented by an ordered pair of numbers $(x, y)$ , where x and y equal the signed distance of the point from the y-axis and x-axis, respectively.

A point in a polar coordinate system is represented by an ordered pair of numbers $(r, 胃)$ . If $r > 0$ , then r is the distance of the point from the pole; $胃$ is an angle formed by the polar axis and a ray from the pole through the point.

Step 2. Formula Used

If P is a point with polar coordinates $(r, 胃)$ , the rectangular coordinates $(x, y)$ of P are given by

$x = r \cos 胃 y = r \sin 胃$

Using these formulas we can convert a given polar coordinate into its equivalent rectangular coordinate.

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91影视

In converting from polar coordinates to rectangular coordinates, what formulas will you use?

Short Answer

Step by step solution

Step 1. Given

Step 2. Formula Used

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