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r-ruslan [8.4K]
3 years ago
5

Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFr

action) )?
a)StartRoot 3 EndRoot (cosine (StartFraction pi Over 8 EndFraction) + I sine (StartFraction pi Over 8 EndFraction) )


b)StartRoot 3 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )


c)StartRoot 3 EndRoot (cosine (StartFraction 5 pi Over 6 EndFraction) + I sine (StartFraction 5 pi Over 6 EndFraction) )


d) StartRoot 3 EndRoot (cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) )
Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer: hello your question is poorly written attached below is the complete question

answer:

\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2})) --- ( option d )

Step-by-step explanation:

The correct option that represents a  square root of 3 as related to the question attached below is :

\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))

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<h3>Calculating wavelength </h3>

From the question, we are to determine how many times longer is the first sound wave compared to the second sound water

Using the formula,

v = fλ

∴ λ = v/f

Where v is the velocity

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For the first wave

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λ₂ = v/16000

Then,

The factor by which the first sound wave is longer than the second sound wave is

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Hence, the sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec

Learn more on Calculating wavelength here: brainly.com/question/16396485

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