   Chapter 10.4, Problem 13E

Chapter
Section
Textbook Problem

# Rectangular-to-Polar Conversion In Exercises 15-24, the rectangular coordinates of a point are given. Plot the point and find two sets of polar coordinates for the point for 0 ≤ θ < 2 π . ( − 3 , 4 )

To determine

To Calculate:

The two sets of polar coordinate for the point in the range 0θ2π and then plot the points.

Explanation

Given: The point is (3,4).

Formula Used:

The rectangular coordinates are given by,

x=rcosθ and y=rsinθ

Calculation:

The value of r in polar coordinates (r,θ) is,

r2=x2+y2 where x=3,y=4

Substitute the value of x=3,y=4 in above equation,

r2=(3)2+(4)2=9+16=25

r=±5

For the value of θ in polar coordinate,

tanθ=yx............

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 47-52, find and simplify f(a+h)f(a)h (h 0) for each function. 48. f(x) = 2x2 x + 1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Evaluate the integral. 0/3sin+sintan2sec2d

Single Variable Calculus: Early Transcendentals

#### The arc length of y = 3x + 2 from x = 1 to x = 5 is a) 210 b) 52 c) 102 d) 410

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Explain the distinction between science and pseudoscience.

Research Methods for the Behavioral Sciences (MindTap Course List)

#### Define and compute the three measures of central tendency.

Research Methods for the Behavioral Sciences (MindTap Course List) 