Explanation Given information: ( 7 , − 3 ) 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). 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. P > R x ( 4 , 3 0 ° ) 3 . 4 6 4 1 0 1 6 1 5 P > R y ( 4 , 3 0 ° ) 2 R > P r ( 3 , 3 ) 4

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ISBN: 8220101473318

Author: Mckeague

Publisher: CENGAGE L

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Chapter 8.5, Problem 60PS

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

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Chapter 8.5, Problem 59PS

Chapter 8.5, Problem 61PS

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Chapter 8 Solutions

EBK TRIGONOMETRY

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 rounded all values to four significant digits.

Solution Summary: The author explains how to convert a rectangular coordinate to polar coordinates using graphing calculators.

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Chapter 8 Solutions

To convert:

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