Chapter 14.3, Problem 11OE

To determine

To find: The three pair of polar coordinates for given points.

Answer to Problem 11OE

  $\left(1,{120}^0\right)$ , $\left(-1,{300}^0\right)$ , $\left(1,-{60}^0\right)$ .

Explanation of Solution

Given information:

A point is given as below.

  

Calculation:

A point is given as below.

  

From above figure point $C$ is $1$ units from origin and at ${120}^0$ from positive $x-$ axis.

So polar coordinate of this point can be given as $\left(1,{120}^0\right)$ .

When taking negative $r$ , polar coordinate will be $\left(-1,{300}^0\right)$ .

When taking negative $\theta$ , polar coordinate will be $\left(1,-{60}^0\right)$ .

Hence, desired equivalent rectangular coordinates would be $\left(1,{120}^0\right)$ , $\left(-1,{300}^0\right)$ , $\left(1,-{60}^0\right)$ .