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.

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Laney

Mathematics

16 January, 16:24

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.

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Sterling · 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.