Explanation Given information: ( − 3 , − 2 ) Concept Used: To derive the relationship between polar coordinates and rectangular coordinates, we consider a point P with rectangular coordinates (x, y) and polar coordinates (r, θ). To convert back and forth between polar and rectangular coordinates, we simply use the relationships that exist amount x, y, r, and θ. To convert Rectangular Coordinates to Polar Coordinates: r = ± x 2 + y 2 a n d tan θ = y x , the sign of r and the choice of θ place the point (r, θ) in the same quadrant as (x, y). To convert polar coordinates to rectangular coordinates: x = r cos θ a n d y = r sin θ The process of converting to rectangular coordinates is simply a matter of substituting r and θ into the preceding equations. To convert the polar coordinates, we have to choose θ and the sign of r so the point (r, θ) is in the same quadrant as the point (x, y). Calculation: Steps Description ( − 3 , − 2 ) Given rectangular coordinate ( x , y ) ⇒ ( − 3 , − 2 ) Identify the x and y x = − 3 y = − 2 r = x 2 + y 2 =

8th Edition

ISBN: 9781305652224

Author: Charles P. McKeague, Mark D. Turner

Publisher: Cengage Learning

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Chapter 8.5, Problem 54PS

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Given rectangular coordinate to polar coordinate using graphing calculator. Keep r positive, round θ to the nearest tenth of a degree, θ between 0° and 360°

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Chapter 8.5, Problem 53PS

Chapter 8.5, Problem 55PS

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Chapter 8 Solutions

Trigonometry (MindTap Course List)

Ch. 8.1 - For Questions 1 through 10, fill in the blank with...Ch. 8.1 - Prob. 2PS Ch. 8.1 - Prob. 3PS Ch. 8.1 - Prob. 4PS Ch. 8.1 - Prob. 5PS Ch. 8.1 - Prob. 6PS Ch. 8.1 - Prob. 7PS Ch. 8.1 - Prob. 8PS Ch. 8.1 - Prob. 9PS Ch. 8.1 - Prob. 10PS

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Given rectangular coordinate to polar coordinate using graphing calculator. Keep r positive, round θ to the nearest tenth of a degree, θ between 0° and 360°

Solution Summary: The author explains how to convert a rectangular coordinate to polar coordinates by substituting r and into equations.

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To convert: Given rectangular coordinate to polar coordinate using graphing calculator. Keep r positive, round θ to the nearest tenth of a degree, θ between 0° and 360°

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Chapter 8 Solutions

To convert:

Given rectangular coordinate to polar coordinate using graphing calculator. Keep r positive, round θ to the nearest tenth of a degree, θ between 0° and 360°