Question

Use a graphing utility to find one set of polar coordinates for the point given in rectangular coordinates.

Answer 1

Step 1 :

The point in rectangular co-ordinates is .

1). Draw a polar-coordinate plane.

2). Plot the point .

Graph of the point is :

3). Divide the polar sector into 12 polar sectors.

.

4). Observe the above graph, the angle should be less then .

5). It is appears to be .

6). From the graph, the distance from the pole to the polar point is approximately 2.8 .

7). Thus, one set of the polar coordinates for the point is .

Solution :

One set of the polar coordinates for the point is .