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Sketch a graph of the polar equation and find the tangents at the pole. r = 4 sin(0) Step 1 The polar coordinates (r, 0) of a point are related to the rectangular coordinates (x, y) by x = r cos 0 and y = r sin 0. The original polar equation can be rewritten in terms of x and y as follows. r = 4 sin 0 r2 = 4 sin e Since x = r cos 0 and y = r sin 0, x2 + y2 = r2. Use this to rewrite the polar equation in terms of x and y. x2 + y2 = 4

Sketch a graph of the polar equation and find the tangents at the pole. r = 4 sin(0) Step 1 The polar coordinates (r, 0) of a point are related to the rectangular coordinates (x, y) by x = r cos 0 and y = r sin 0. The original polar equation can be rewritten in terms of x and y as follows. r = 4 sin 0 r2 = 4 sin e Since x = r cos 0 and y = r sin 0, x2 + y2 = r2. Use this to rewrite the polar equation in terms of x and y. x2 + y2 = 4

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 2GP
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Sketch a graph of the polar equation and find the tangents at the pole. r = 4 sin(0) Step 1 The polar coordinates (r, 0) of a point are related to the rectangular coordinates (x, y) by x = r cos 0 and y = r sin 0. The original polar equation can be rewritten in terms of x and y as follows. r = 4 sin 0 r2 = 4 sin e Since x = r cos 0 and y = r sin 0, x2 + y2 = r2. Use this to rewrite the polar equation in terms of x and y. x2 + y2 = 4
Transcribed Image Text:Sketch a graph of the polar equation and find the tangents at the pole. r = 4 sin(0) Step 1 The polar coordinates (r, 0) of a point are related to the rectangular coordinates (x, y) by x = r cos 0 and y = r sin 0. The original polar equation can be rewritten in terms of x and y as follows. r = 4 sin 0 r2 = 4 sin e Since x = r cos 0 and y = r sin 0, x2 + y2 = r2. Use this to rewrite the polar equation in terms of x and y. x2 + y2 = 4
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