   Chapter 10, Problem 4RCC

Chapter
Section
Textbook Problem

(a) Use a diagram to explain the meaning of the polar coordinates (r, θ) of a point. (b) Write equations that express the Cartesian coordinates (x, y) of a point in terms of the polar coordinates. (c) What equations would you use to find the polar coordinates of a point if you knew the Cartesian coordinates?

(a)

To determine

To find: The meaning of polar coordinates using diagram.

Explanation

Calculation:

Plot the graph using x and y coordinates to define r and θ as shown in figure (1).

The above graph shows the polar coordinates in the form of r and θ </

(b)

To determine

To find: The equation of Cartesian coordinates in terms of polar coordinates.

(c)

To determine

To find: The equation is use to determine the polar coordinates of a point.

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