Answer: Polar to Cartesian coordinates Convert the

Chapter 8, Problem 33E

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QUESTION:

Convert the following equations to Cartesian coordinates. Describe the resulting curve.

\(r \cos \theta=\sin 2\theta\)

Questions & Answers

QUESTION:

Convert the following equations to Cartesian coordinates. Describe the resulting curve.

\(r \cos \theta=\sin 2\theta\)

ANSWER:

Solution 33E

Step 1:

Given polar equation is ; r cos(= sin(2

In this problem we need to convert the polar equation to cartesian equation.

The relation between cartesian (x, y) and polar coordinates ( r , is ;

           x = r cos(, y = r sin(

          +

                         =

                        =

                       =

                      =

Therefore , .

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