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1.) Find polar coordinates (r,8) for the point P that has Cartesian coordinates (x, y) = (5,-5) such that r≥ 0 and 0 ≤ 0 ≤ 2π. Show all steps. You may leave the angle in terms of an inverse trigonometric function.

1.) Find polar coordinates (r,8) for the point P that has Cartesian coordinates (x, y) = (5,-5) such that r≥ 0 and 0 ≤ 0 ≤ 2π. Show all steps. You may leave the angle in terms of an inverse trigonometric function.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1.) Find polar coordinates (r, 0) for the point P that has Cartesian coordinates (x, y) = (5,-5) such that r≥ 0 and 0 ≤ 0 ≤ 2π. Show all steps. You may leave the angle in terms of an inverse trigonometric function.
Transcribed Image Text:1.) Find polar coordinates (r, 0) for the point P that has Cartesian coordinates (x, y) = (5,-5) such that r≥ 0 and 0 ≤ 0 ≤ 2π. Show all steps. You may leave the angle in terms of an inverse trigonometric function.
xample epresent the point with Cartesian coordinates (1,-1) in terms of polar coordinates. X = 1 y = -1 So, (1,-1) in ܙ F F r² = x² + y² (²³= (1) ³² + (-1) ² (52, 2π + ten²¹ (-1)) r² = 2 r=√√2 -1 in Quadent II 2-7 √ or tan 0 = 1/2 X fand = = tad = -1 8 = tan (-1) in 0 = 2π + tan¹ (-1) Carterian Coordinates = 7T -X or O=-T is in Polar Coordinates. 4. (1₁-1) or (√2, 247) or (52,- =7)
Transcribed Image Text:xample epresent the point with Cartesian coordinates (1,-1) in terms of polar coordinates. X = 1 y = -1 So, (1,-1) in ܙ F F r² = x² + y² (²³= (1) ³² + (-1) ² (52, 2π + ten²¹ (-1)) r² = 2 r=√√2 -1 in Quadent II 2-7 √ or tan 0 = 1/2 X fand = = tad = -1 8 = tan (-1) in 0 = 2π + tan¹ (-1) Carterian Coordinates = 7T -X or O=-T is in Polar Coordinates. 4. (1₁-1) or (√2, 247) or (52,- =7)
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