Chapter 6, Problem 25CT

To determine

To calculate:

Given complex number $100\left(\cos 240°+i\sin 240°\right)$ in standard form and graph it.

Answer to Problem 25CT

Given complex number $100\left(\cos 240°+i\sin 240°\right)$ in standard form is $z=-0.5+0.86i$ .

Graph for $z=-0.5+0.86i$ on complex plane is,

  

Explanation of Solution

Given information:

  $100\left(\cos 240°+i\sin 240°\right)$

Calculation:

Given complex number $100\left(\cos 240°+i\sin 240°\right)$

Because,

  $\cos 240°=-0.5$ and $\sin 240°=-08660$

Equation becomes,

  $\begin{array}{l}z=100\left[\cos 240°+i\sin 240°\right]\\ z=100\left[-0.5+0.86660i\right]\\ z=-0.5+0.86i\end{array}$

Graph for $z=-0.5+0.86i$ on complex plane is,