Explanation Given information: ( 3 , 124 ° ) 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 where 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). Most graphing calculators are able to convert a complex number between standard form and trigonometric form. The same is true for converting ordered pairs between rectangular coordinates and polar coordinates. In fact, sometimes the very same commands are used. For a TI-84, the conversion commands are located in the ANGLE menu. Example: P > R x ( 4 , 3 0 ° ) 3 . 4 6 4 1 0 1 6 1 5 P > R y ( 4 , 3 0 ° )

8th Edition

ISBN: 9781305652224

Author: Charles P. McKeague, Mark D. Turner

Publisher: Cengage Learning

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Chapter 8.5, Problem 38PS

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Given polar coordinate to rectangular coordinate using graphing calculator rounding all values to four significant digits.

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Chapter 8.5, Problem 37PS

Chapter 8.5, Problem 39PS

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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 polar coordinate to rectangular coordinate using graphing calculator rounding all values to four significant digits.

Solution Summary: The author explains how to convert a given polar coordinate to rectangular coordinates using graphing calculators rounding all values to four significant digits.

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To convert: Given polar coordinate to rectangular coordinate using graphing calculator rounding all values to four significant digits.

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Chapter 8 Solutions

To convert:

Given polar coordinate to rectangular coordinate using graphing calculator rounding all values to four significant digits.