Identify and graph the following curves.a) r2 = cos(2θ)b) r2 = √3 + 2 sin θc) r = 3 − 3 sin θd) r = 5 sin θe) r = 3 sin(4θ)

Name: Identify and graph the following curves.a) r2 = cos(2θ)b) r2 = √3 +
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Description: Identify and graph the following curves.a) r2 = cos(2θ)b) r2 = √3 + 2 sin θc) r = 3 − 3 sin θd) r = 5 sin θe) r = 3 sin(4θ)

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 40E

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Question

Identify and graph the following curves.

a) r² = cos(2θ)

b) r² = √3 + 2 sin θ

c) r = 3 − 3 sin θ

d) r = 5 sin θ

e) r = 3 sin(4θ)

Expert Solution

Step 1

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

(a)

Take root under on both the sides of the equation.

The shape of the curve is lemniscates.

Step 2

(b)

Again, take root under on both the sides of the equation.

The shape of the curve is cardioids.

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