How do you graph r=4/thetar=4θ?

1 Answer
SCooke
Apr 14, 2018

ALL graphs require a table of calculated values to plot. This one will be a spiral.

Explanation:

"Graphing" is not always for a "solution", but for a better understanding of the function - how it changes.

In this case we have a radius (distance from the origin) that is the ratio of a constant with the angle. At "0" it is undefined, but as thetaθ gets smaller and smaller, the fraction becomes larger and larger.
As thetaθ gets larger (going around the origin) the value of rr gets smaller. Calculating and plotting a few points will show that the sequence forms a spiral.

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