Chapter 12, Problem 9CLT

To determine

Identify the type of graph.

Answer to Problem 9CLT

The graph is circle.

Explanation of Solution

Given information:

Sketch the graph of the polar equation. Identify the type of graph.

  $r=-\frac{\pi }{6}$

Calculation:

Consider the given polar equation,

  $r=-\frac{\pi }{6}$

Now plot the point on polar plane by using Use graphic utility $TI-83$ calculator to draw the graph.

Press mode and select Pol. The display will be,

  

Press $Y=$ and type the value of $r$ . The display will be,

  

Now press window and select proper scale,

  

Now press graph.

  

It is identified from the graph that $r=-\frac{\pi }{6}$ represents equation of circle.

Hence the graph $r=-\frac{\pi }{6}$ represents equation of circle.