Question

Plotting Points in Polar Coordinates Plot the point that has the given polar coordinate $(-2,\frac{4\pi }{3})$.

Short answer

The graph of given point,

Step-by-step solution

Step 1. Given information

A point in polar coordinates as $(-2,\frac{4\pi }{3})$

Step 2. Concept used

For graphing a point in the polar coordinate system, two things are required: radius and angle. The radius is represented by the first coordinate of the point, while the angle is represented by the second.

Step 3. Calculation

The radius and angle are given as,

$\begin{array}{l}r=-2\\ \theta =\frac{4\pi }{3}\end{array}$

Now plot the plot on graph and we get,