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4 years ago

Answer is needed asap

Mathematics

2 answers:

Oksi-84 [34.3K]4 years ago

7 0

I think it is letter A ,man. yeah that gotta be the answer

Svet_ta [14]4 years ago

7 0

Since Landon has 4 times as more just divide 16 by 4.

The answer is B.

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Answer:

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Step-by-step explanation:

Given

$((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Required

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We have that:

$z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Expand:

$z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

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A complex equation can be expressed as:

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$z = 27(e^{i\frac{\pi}{18}})^6$

By comparison:

$e^{i\theta} = (e^{i\frac{\pi}{18}})^6$

This gives:

${i\theta} = i\frac{\pi}{18}}*6$

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${i\theta} = i\frac{\pi}{3}}$

Divide through by i

$\theta = \frac{\pi}{3}$

Hence, the modulus, z is:

$|z| = 27$

And the argument $\theta$ is

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