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Law Incorporation [45]
3 years ago
6

Give few sentence in Bengali​

Mathematics
1 answer:
nevsk [136]3 years ago
7 0
Not a maths question?
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Which of the following is a third root of the given complex number.
Leokris [45]

Answer:

The correct option is C.

Step-by-step explanation:

The given complex number is

z=64(\cos[\frac{\pi}{7}]-i\sin[\frac{\pi}{7}])

We need to find the third root of the given complex number.

z^{\frac{1}{3}}=(64(\cos[\frac{\pi}{7}]-i\sin[\frac{\pi}{7}]))^{\frac{1}{3}}

z^{\frac{1}{3}}=64^{\frac{1}{3}}(\cos[\frac{\pi}{7}]-i\sin[\frac{\pi}{7}])^{\frac{1}{3}}

z^{\frac{1}{3}}=4(\cos[\frac{\pi}{7}]-i\sin[\frac{\pi}{7}])^{\frac{1}{3}}

De moivre's theorem:

(\cos\theta+i\sin\theta)^n=\cos n\theta+i\sin n\theta

where, n is an integer.

Using de moivre's theorem, we get

z^{\frac{1}{3}}=4(\cos[\frac{\pi}{7}\times \frac{1}{3}]-i\sin[\frac{\pi}{7}\times \frac{1}{3}])

z^{\frac{1}{3}}=4(\cos[\frac{\pi}{21}]-i\sin[\frac{\pi}{21}])

Therefore the correct option is C.

6 0
3 years ago
Read 2 more answers
I need to know the answer quickly.
alisha [4.7K]
4,7, second bubble for the word part
5 0
2 years ago
What does 7,124 ÷ 26 equal to?
Paha777 [63]

274

hope that helps

:D

btw i used long division

8 0
2 years ago
What is the length of BC¯¯¯¯¯ ?
adell [148]
X + 9 = 2x - 8
2x - x = 9 + 8
x = 17

BC = x = 17

answer
17 units
3 0
3 years ago
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Gabriel drives 60 kilometers in one hour. If he drives at the same speed, how many kilometers can he drive in 2.50 hours?
Harlamova29_29 [7]

sheeesh im struggling with the same

4 0
3 years ago
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