Question

review the four points shown on the polar coordinate system. which point represents (-6, π/12)? point a point b point c point d

Explanation:

Step1: Understand polar coordinates

In polar coordinates $(r,\theta)$, when $r<0$, we move in the opposite direction of the angle $\theta$.

Step2: Analyze the given coordinates

We have $r = - 6$ and $\theta=\frac{\pi}{12}$. For $\theta=\frac{\pi}{12}$, if $r$ was positive we would move in the direction of $\frac{\pi}{12}$. Since $r=-6$, we move in the opposite - direction of $\frac{\pi}{12}$, which is the direction of $\frac{\pi}{12}+\pi=\frac{13\pi}{12}$. Point C is in the direction approximately corresponding to an angle close to $\frac{13\pi}{12}$ and at a distance of 6 units from the origin (but in the opposite - sense due to negative $r$).

Answer:

point C