216k views
4 votes
True or False - One advantage of polar equations is that you can use a polar function to describe a graph whose equation in rectangular coordinates would not be considered a function.

User SPaz
by
7.9k points

2 Answers

7 votes
Yup! Consider the circle:

r=cnt, for any angle. Impossible with (x,y), because for a given x, you need to y values. For a circle of radius 1, centered at the origin, y = +sqrt( 1-x^2) and y = -sqrt(1-x^2)

Also the spiral, etc ... Any hta has for one x value, two or more y values.
User Sagar Joshi
by
8.8k points
7 votes

Answer:

The answer is TRUE.

Explanation:

One advantage of polar equations is that you can use a polar function to describe a graph whose equation in rectangular coordinates would not be considered a function - this is true.

Polar equations are algebraic curves expressed in polar coordinates. For polar equations, we define r as a function of θ, where r represents the distance from the pole to a point on a curve, and θ represents the counterclockwise angle made by a point on a curve, the pole, and the positive x-axis.

User Troynt
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories