The question asked to do a polar plot of $\theta = \pi/7$ so it is not in the usual form of $r=$ and only has a $\theta$ value.
I think this would be a line, but it's difficult to see this. Would this result in a line?
Polar Plot with no R value
0
$\begingroup$
algebra-precalculus
trigonometry
-
0It would result in a line. Think of it as all the possible pair values $(r, \theta)$ with $\theta = \frac{\pi}{7}$ – 2017-01-23
-
0Possibly a *ray* (half a line) – 2017-01-23
-
0Ah, I see this now. – 2017-01-23
1 Answers
0
Yes, it would. Think of the analogous sort of thing in Cartesian coordinates -- it would not have bothered you to plot $x=5$, even though no $y$ appears.
One subtlety arises: Is it a line or a ray extending from the origin? If you allow negative values of $r$ being equivalent to the corresponding absolute value of $r$ with $\theta$ increased by $180^\circ$ then it is a line; if not, then it is a ray.