3 years ago

I NEED HELP. PEOPLE KEEP ANSWERING WITHOUT KNOWING THE ANSWER AND IT IS FOR MY GRADE.

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

7 0

Most likely VA if not sorry!

Sloan [31]3 years ago

4 0

Answer:

Im pretty sure its VA

Step-by-step explanation:

I hope this helps you out!

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Andrei [34K]

ANSWER

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

EXPLANATION

The complex number shown has coordinates (2,-2)

$z = 2 - 2i$

The modulus is

$|z| = \sqrt{ {2}^{2} + {( - 2)}^{2} }$

$|z| = \sqrt{ 8} = 2 \sqrt{2}$

The argument is

$\theta= \tan^{ - 1} ( \frac{ - 2}{2} )$

$\theta= \tan^{ - 1} ( -1) = \frac{7\pi}{4}$

The polar form is

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

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