Question

Match each point in polar coordinates with either A,B,C or D on the graph.

$(2,\frac{7\mathrm{\pi }}{6})$

Short answer

Point $(2,\frac{7\mathrm{\pi }}{6})$is a correct match with C on the graph.

Step-by-step solution

Step 1. Given information

We have been given a point in polar coordinates $(2,\frac{7\mathrm{\pi }}{6})$.

We have to match this point on the graph.

Step 2. Plot the given point on the polar coordinate as per the value of r and θ

To graph a point in polar coordinates $(r,\theta )$, we have to know that r is the distance between the point and the origin and is the angle with respect to the polar axis, now when the value of r is negative the point is located in the opposite sense of the angle, and if $\theta$is negative this means that the angle is taken on the clockwise sense.

Therefore, the correct match is C.