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Svetlanka [38]
4 years ago
9

Someone please help me on question 2. It’s urgent!

Mathematics
2 answers:
Ad libitum [116K]4 years ago
6 0

Answer:

The answer is 3 2/5




bearhunter [10]4 years ago
5 0

Answer: 3 2/5


Step-by-step explanation:


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Find the argument of the complex number z=1+iv3
elena-14-01-66 [18.8K]

Given:

The complex number is:

z=1+i\sqrt{3}

To find:

The argument of the given complex number.

Solution:

If a complex number is z=x+iy, then the argument of the complex number is:

\theta=\tan^{-1}\dfrac{y}{x}

We have,

z=1+i\sqrt{3}

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\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}

\theta =\tan^{-1}\sqrt{3}

\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)

\theta =\dfrac{\pi}{3}

Therefore, the argument of the given complex number is \theta =\dfrac{\pi}{3}.

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