Answer:
Step-by-step explanation:
The standard form of a complex number is a + bi. where
[tex]a=rcos\theta[/tex] and [tex]b=rsin\theta[/tex]
Putting these together to get the form that you have right now gives you
[tex](rcos\theta+rsin\theta i)[/tex] 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
The complex number in its standard form will be - 4 - 6.9i.
The complex number is the combination of the real part and the imaginary part.
Then the complex number is given as
⇒ a + bi
Convert the polar representation of this complex number into its standard form.
z = 8 (cos 240° + i sin 240°)
Where a = r cos θ and b = r sin θ
Combining these results in the current form that you currently have
⇒ r cos θ + ir sin θ
Then the value of a and b will be
a = 8 cos 240° = 8 * (-0.5) = -4
b = 8 sin 240° = 8 * (-0.866) = -6.9
Then the complex number in its standard form will be - 4 - 6.9i.
More about the complex number link is given below.
https://brainly.com/question/10251853
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