Question

review the four points shown on the polar coordinate system. which point has coordinates (5, -\frac{7\pi}{6})? point a point b point c point d

Explanation:

Step1: Understand polar coordinates

In polar coordinates $(r,\theta)$, $r = 5$ is the distance from the origin and $\theta=-\frac{7\pi}{6}$. A negative angle means rotation clock - wise.

Step2: Convert negative angle to positive equivalent

$-\frac{7\pi}{6}+2\pi=\frac{5\pi}{6}$.

Step3: Locate the point

The point with $r = 5$ and angle $\frac{5\pi}{6}$ (or $-\frac{7\pi}{6}$) is point B on the polar coordinate system.

Answer:

point B