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Chapter 9: Q. 4 (page 631)

Convert (2,23) from rectangular coordinates to polar coordinates (r,胃), where r>0 and 0鈮�胃<2蟺.

Short Answer

Expert verified

The polar point is 4,蟺3.

Step by step solution

01

Step 1. Given information 

We are given a point 2,23.

We have to convert the given point from rectangular coordinates to polar coordinates.

02

Step 2. Converting the point

We know that,

r2=x2+y2

So, putting values, we get

r2=22+(23)2r=4+12r=16r=4

03

Step 3. Converting the point

Also, we know that

tan胃=yx

so, putting values, we get

tan胃=232胃=tan-13胃=蟺3

Hence, the polar point is role="math" localid="1647002989966" 4,蟺3.

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Most popular questions from this chapter

In Problems 39鈥�54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

8.1,5.2

In Problems 11-22, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

-2+3i.

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.

r=2

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=2-3cos胃

Rose curves are characterized by equations of the formr=acosn胃orr=asinn胃,a鈮�0.If n鈮�0is even, the rose has _____ petals; if n鈮�卤1is odd, the rose has ______ petals.
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