Chapter 11.3, Problem 9E

To determine

Tosketch:The set of points whose polar coordinates satisfy the equation $\left|\theta \right|=\pi /6$ .

Answer to Problem 9E

The result is two straight line with angle $\pi /6$ and $-\pi /6$ starting from origin.

Explanation of Solution

Given information:

The equation $\left|\theta \right|=\pi /6$

Graph:

Given equation is $\left|\theta \right|=\pi /6$ .

Thus, $\theta =\pi /6\text{or}\theta =-\pi /6$

Now, draw all the graph with an angle $\pi /6$ and $-\pi /6$ with $x\text{-axis}$ .

  

Conclusion:

Hence, the result is two straight line with angle $\pi /6$ and $-\pi /6$ starting from origin.