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Question

Find the modulus, argument and the principal argument of the complex numbers.
2(cos30o+isin30o)

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Solution

For z=r(cos(θ)+isin(θ))
|z|=|r|
arg(z)=θ
Principal argument is the argument that is in the interval (180o,180o]
Here,
|z|=2
Argument = 30o
Principal argument = 30o

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