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Chapter 9: Q. 60 (page 568)

In Problems55鈥�66, the rectangular coordinates of a point are given. Find polar coordinates for each point.

-3,3

Short Answer

Expert verified

The polar coordinates is 32,-蟺4.

Step by step solution

01

Step 1. Given Information   

We are given rectangular coordinates of a point,

-3,3

We have to find polar coordinates of given point.

02

Step 2. Finding the polar coordinates   

The distance of the point -3,3from origin is given by,

r=x2+y2r=(-3)2+32=9+9=32

03

Step 3. Finding the polar coordinates   

We know that,

tan胃=yx, so胃=tan-1yx,-蟺2<胃<蟺2

Putting values, we get

胃=tan-13-3=tan-1(-1)=-蟺4

So, the polar coordinate will be 32,-蟺4.

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In Problems55鈥�66, the rectangular coordinates of a point are given. Find polar coordinates for each point.

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