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Chapter 9: Q 24. (page 730)

In Exercises 24鈥�31 find all polar coordinate representations for the point given in rectangular coordinates.

0,0

Short Answer

Expert verified

The polar coordinates are 0,2k+1蟺and0,2办蟺, for any integerk.

Step by step solution

01

Step 1. Given information.

The given rectangular coordinate is:

0,0

Here x=0andy=0.

02

Step 2. Find the value of r.

To find the value of r, use the formula r2=x2+y2:

r=x2+y2r=02+02r=0r=0

03

Step 3. Find the value of θ.

Use the formula tan胃=yx,

localid="1649227271585" tan胃=yx胃=tan-1yx胃=tan-100胃=tan-10

胃=0,蟺,2蟺 localid="1649227391599" Sincetan2蟺=0;tan蟺=0)

04

Step 4. Find the polar coordinates.

Now take r=0,胃=蟺,

Then r,胃=0,蟺

The coordinates will become localid="1649227976138" 0,2k+1蟺and0,2办蟺 for any integer k.

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