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Chapter 9: Q 53. (page 731)

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

y=-3

Short Answer

Expert verified

The required equation is-3csc胃.

Step by step solution

01

Step 1. Given information.

The given equation in rectangular coordinates is:

y=-3

02

Step 2. Find the equation in rectangular coordinates.

y=-3

As we know that in polar coordinates y=rsin胃, then substitute the value of y ,

rsin胃=-3

Divide both sides by role="math" localid="1649349326734" sin胃,

rsin胃sin胃=-3sin胃r=-3sin胃r=-3csc胃

Therefore, the equation in polar coordinates is-3csc胃.

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