Question
Asked Nov 21, 2019
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Graph the complex number, find its modulus and put the complex number n in polar form with arguement Θ and 2π.

-5 + 5√3i

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Expert Answer

Step 1

Given complex number z = -5 + 5√3i.

Graph the complex number.

Im(z)
10
-5+5/5
5
--5
0
10
Re(z)
-5
45
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Im(z) 10 -5+5/5 5 --5 0 10 Re(z) -5 45

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Step 2

Find the modulus of complex number.

r=l2l= va? +b?
2
r-5+5/3i=
-5) +(5/3) = 25+75 = /100=10
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r=l2l= va? +b? 2 r-5+5/3i= -5) +(5/3) = 25+75 = /100=10

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Step 3

Find the argument of complex number.

Since the complex n...

e= tan
5 3
+
-5
27T
л
= tan"-/3)+7 =
0= tan
-+ T =
3
3
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e= tan 5 3 + -5 27T л = tan"-/3)+7 = 0= tan -+ T = 3 3

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Tagged in

Math

Algebra