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1. Match each equation in rectangular coordinates with its equation in polar coordinates: (a) x² + y² = 4 r² (1-2 sin²0) = 4 r(cos+ sin 0) = 4 r=2 sin 0 r = 2 (b) x² + (y − 1)² = 1 O r² (1-2 sin²0) = 4 r(cos 0 + sin 0) = 4 r=2 sin 0 Or=2 (c) x+y=4 O r² (1-2 sin² 0) = 4 r(cos 0 + sin 0) = 4 r = 2 sin 0 r = 2

1. Match each equation in rectangular coordinates with its equation in polar coordinates: (a) x² + y² = 4 r² (1-2 sin²0) = 4 r(cos+ sin 0) = 4 r=2 sin 0 r = 2 (b) x² + (y − 1)² = 1 O r² (1-2 sin²0) = 4 r(cos 0 + sin 0) = 4 r=2 sin 0 Or=2 (c) x+y=4 O r² (1-2 sin² 0) = 4 r(cos 0 + sin 0) = 4 r = 2 sin 0 r = 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Match each equation in rectangular coordinates with its equation in polar coordinates: (a) x² + y² = 4 O r²(1-2 sin² 0) = 4 r(cos 0 + sin() = 4 r = 2 sin 0 Or=2 (b) x² + (y − 1)² = 1 O r²(1-2 sin²0) = 4 r(cos+ sin 0) = 4 r=2 sin 0 r = 2 (c) x+y=4 Or² (1-2 sin² 0) = 4 r(cos+ sin 0) = 4 r = 2 sin 0 Or=2
Transcribed Image Text:1. Match each equation in rectangular coordinates with its equation in polar coordinates: (a) x² + y² = 4 O r²(1-2 sin² 0) = 4 r(cos 0 + sin() = 4 r = 2 sin 0 Or=2 (b) x² + (y − 1)² = 1 O r²(1-2 sin²0) = 4 r(cos+ sin 0) = 4 r=2 sin 0 r = 2 (c) x+y=4 Or² (1-2 sin² 0) = 4 r(cos+ sin 0) = 4 r = 2 sin 0 Or=2
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