Question

Convert the polar representation of this complex number into its standard form: z=8(cos240degrees + isin 240degrees)

Answer 1

Answer:

Step-by-step explanation:

The standard form of a complex number is a + bi.  where

$a=rcos\theta$  and  $b=rsin\theta$

Putting these together to get the form that you have right now gives you

$(rcos\theta+rsin\theta i)$ and you have the r factored out.  If you want to find out what a is then in a + bi, find out what 8cos(240) is on your calculator.  

8cos(240) = -4

Likewise for b:

8sin(240) = -6.9

Putting these together in standard form gives you -4 - 6.9i