. The curve with parametric equations x = (1 + 2 sin 0) cos 0, y = (1 + 2 sin 0) sin 0 is called a limaçon and is shown in the accompanying figure. Find the points (x, y) and the slopes of the tangent lines at these points for a. 0 = 0. b. 0 = 1/2. с. Ө %— 4п/3. х 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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. The curve with parametric equations
x = (1 + 2 sin 0) cos 0, y = (1 + 2 sin 0) sin 0
is called a limaçon and is shown in the accompanying figure. Find
the points (x, y) and the slopes of the tangent lines at these points
for
a. 0 = 0.
b. 0 = 1/2.
с. Ө %— 4п/3.
х
2.
Transcribed Image Text:. The curve with parametric equations x = (1 + 2 sin 0) cos 0, y = (1 + 2 sin 0) sin 0 is called a limaçon and is shown in the accompanying figure. Find the points (x, y) and the slopes of the tangent lines at these points for a. 0 = 0. b. 0 = 1/2. с. Ө %— 4п/3. х 2.
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