Chapter 9, Problem 1CT

To determine

To graph: The point $\left(2,\frac{3\pi }{4}\right)$ in the polar coordinates.

Explanation of Solution

Given information:

The point, $\left(2,\frac{3\pi }{4}\right)$

Graph:

The point in a polar coordinate system is represented by an order pair $\left(r,\theta \right)$ .

Here the point is $\left(2,\frac{3\pi }{4}\right)$ .

Thus, $r=2,\theta =3\pi /4$ .

So the angle between the terminal side and initial side is $3\pi /4$ and the point has length of $2$ units from the origin as shown below,

  

Interpretation:

From the figure, the point lies in second quadrant.