Question

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.

Answer 1

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.

Answer 2

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.