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Chapter 9: Q. 61 (page 568)

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

3,1

Short Answer

Expert verified

The polar coordinates is 2,蟺6.

Step by step solution

01

Step 1. Given Information   

We are given rectangular coordinates of a point,

3,1

We have to find polar coordinates of given point.

02

Step 2. Finding the polar coordinates   

The distance of the point 3,1from origin is given by,

r=x2+y2r=(3)2+12=3+1=4=2

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-113=蟺6

So, the polar coordinate will be localid="1646791185846" 2,蟺6.

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Most popular questions from this chapter

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

rsin胃=4

Explain how you proceed to convert from rectangular coordinates to polar coordinates.

Findzwand zw. Leave the answers in polar form.

role="math" localid="1646661399572" z=2+2iw=3-i

Write the expression in the standard form a+ib.

role="math" localid="1646666471780" 2cos蟺10+isin蟺105

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=3cos2胃
See all solutions

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