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(a) Convert the point whose polar coordinates are (4, 57/4) to rectangular coordinates. (x, y) = (-2√2,- 2√2 (b) Find two polar coordinate representations for the rectangular coordinate point (-9, 3√3), one with r> 0 and one with r< 0 and both with 0 ≤ 0 < 2π. r> 0 (r, 0) = r< 0 (r, 0) = X

(a) Convert the point whose polar coordinates are (4, 57/4) to rectangular coordinates. (x, y) = (-2√2,- 2√2 (b) Find two polar coordinate representations for the rectangular coordinate point (-9, 3√3), one with r> 0 and one with r< 0 and both with 0 ≤ 0 < 2π. r> 0 (r, 0) = r< 0 (r, 0) = X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.6: Polar Equations Of Conics
Problem 7E
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(a) Convert the point whose polar coordinates are (4, 5pi/4) to rectangular coordinates.

(b) Find two polar coordinate representations for the rectangular coordinate point (−9, sqrt3), one with r > 0and one with r < 0 and both with 0 ≤ theta < 2pi.

r > 0     (r, theta)  =
r < 0     (r, theta)  = 
(a) Convert the point whose polar coordinates are (4, 5π/4) to rectangular coordinates. (x, y) = (-2√√2, -2√√/2 (b) Find two polar coordinate representations for the rectangular coordinate point (-9, 3√3), one with r> 0 and one with r < 0 and both with 0 ≤ 0 < 2π. (r, 0) r> 0 r< 0 = (r, 0) = X
Transcribed Image Text:(a) Convert the point whose polar coordinates are (4, 5π/4) to rectangular coordinates. (x, y) = (-2√√2, -2√√/2 (b) Find two polar coordinate representations for the rectangular coordinate point (-9, 3√3), one with r> 0 and one with r < 0 and both with 0 ≤ 0 < 2π. (r, 0) r> 0 r< 0 = (r, 0) = X
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