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irina [24]
2 years ago
15

Solve using demoivres theorem

Mathematics
1 answer:
pashok25 [27]2 years ago
3 0
It's difficult to make out, but I think the task is to expand

(\sqrt3-i)^4

Write the number in polar form first:

\sqrt3-i=2e^{-i\pi/6}

By DeMoivre's theorem, you have

(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}

and converting back to Cartesian form, this number is equivalent to

16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)
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Derivative of sin(x+y)
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Answer:

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Step-by-step explanation:

Let y = sin(x+y)

Differentiating with respect to x on both sides.

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4 0
3 years ago
Ken and bill collected 550 stickers together. Ken collected 20% more stickers than bill. How many stickers did ken collect?
Anestetic [448]

Answer:300

Step-by-step explanation:

4 0
3 years ago
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a swimmer swam 48 kilometers in d days. What is the value of the d if the swimmer swam an average of 3.2 kilometers daily?
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Time= distance/speed

=48/3.2= 15
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3 years ago
Ms Melissa and Ms ryanne went for a walk and they got back at 8:02am their walk was actually 45 minutes what time did they leave
dimaraw [331]

Answer: 7: 17

Step-by-step explanation:

This doesn't really make sense but it's how I do it

8:02 = 7:62

    7:62

<u> -      45</u>

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6 0
3 years ago
Just help don’t ask please
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change graphic into alohabet so it is easier to see

solve easy equation with only a type of unknown first..

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