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Chapter 9: Q 39. (page 731)

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.
r=6csc胃

Short Answer

Expert verified

The required equation isy=6.

Step by step solution

01

Step 1. Given information.

The given equation in polar coordinates is:

r=6csc胃

02

Step 2. Find the equation in rectangular coordinates.

r=6csc胃r=6路1sin胃rsin胃=6y=6Sincersin胃=y

Therefore, the equation in rectangular coordinates isy=6.

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Most popular questions from this chapter

In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral

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r=2cos胃

In Exercises 48鈥�55 convert the equations given in rectangular coordinates to equations in polar coordinates.

y=-3

Sketch the graphs of the equations

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What is the relationship between these graphs? What is the eccentricity of each graph?

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The integral is鈭�0蟺(1+cos胃)2d胃
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