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Chapter 9: Q 45. (page 731)

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.

r=胃

Short Answer

Expert verified

The required equation isy=tanx2+y2.

Step by step solution

01

Step 1. Given information.

The given equation in polar coordinates is:

r=胃

02

Step 2. Find the equation in rectangular coordinates.

r=胃

Substitute r=x2+y2and胃=tan-1yx

x2+y2=tan-1yxtanx2+y2=yxxtanx2+y2=yy=tanx2+y2

Therefore, the equation in rectangular coordinates isy=tanx2+y2.

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