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2 years ago

I need help doing this question

Mathematics

1 answer:

FromTheMoon [43]2 years ago

6 0

Answer:

112°

Step-by-step explanation:

The sum of all of the angles needs to reach 360° to make a full circle.

59 + 108 + 81 = 248

360 - 248 = 112

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Convert,the complex number into polar form: 4+4i

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Z = a + bi
z = 4 + 4i

r² = a² + b²
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r² = 16 + 16
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$cos\theta = \frac{a}{r}$
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z = rcosθ + (rsinθ)i
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z = 4 + 4i
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z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

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