Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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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
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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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