Review the proof of de Moivre’s theorem (not in order).

Proof of de Moivre's Theorem
[cos(θ) + isin(θ)]k + 1
A = [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
B = cos(kθ + θ) + isin(kθ + θ)
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
E = cos[(k + 1)θ] + isin[(k + 1)θ]
Which steps must be switched to put the proof in order?

steps B and C
steps B and D
steps C and D
steps C and E

Answers

Answer 1

Answer:

steps B and D

Step-by-step explanation:

the correct chart is below :)

Review The Proof Of De Moivres Theorem (not In Order). Proof Of De Moivre's Theorem [cos() + Isin()]k
Answer 2

The steps which must be switched to put the proof in order are steps B and D

Since [cos(θ) + isin(θ)]k + 1

= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1

= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]

= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]

= cos(kθ + θ) + isin(kθ + θ)

= cos[(k + 1)θ] + isin[(k + 1)θ]

Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.

So, steps B and D must be switched.

The steps which must be switched to put the proof in order are steps B and D.

Learn more about De Moivre's theorem here:

https://brainly.com/question/11889817


Related Questions

Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1

Answers

9514 1404 393

Answer:

  y = -1/3x -1

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...

  m = -1/3

Only one answer choice has that value as the coefficient of x:

  y = -1/3x -1

Write the product using exponents.
(-4).(-4).(-4).y.y

Answers

The product would be -64y^2

Answer:

(-4)^3 * y^2

Step-by-step explanation:

hope it helps.

Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is

A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these

Answers

Answer: The sum of the area of it's faces

Step-by-step explanation: its the surafce area.

**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?​

Answers

june 22 the declination reaches a maximum of 24.45° on june 22 summer solstice in the northern hemisphere and a minimum of -23.45 on december 21-22 winter solstice in the northern hemisphere. the sun, the moon, the planets and the stars all rise in the east and set in the west. and that’s because earth spins towards the east

Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer.

Answers

Answer:

5 km

Step-by-step explanation:

to convert m to km you have to divide by 1000.

5000/1000=5

hope this helps!

y=3x+22
x is equal to 225

Answers

9514 1404 393

Answer:

  y = 697

Step-by-step explanation:

Put the value of x into the equation and do the arithmetic.

  y = 3·225 +22 = 675 +22

  y = 697

you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

help me please thank you​

Answers

24 blueberries. 24:60=2:5

A young reptile is 0.6 foot long. An adult reptile is 19.5 times as long. How many feet longer is the adult reptile than the young reptile?

Answers

0.6ft x 19.5 = 11.7 ft
11.7ft-0.6ft = 11.1 ft
answer is 11.1 ft longer

Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26

Answers

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:


What is the solution to the equation 7,- 5* ++5
-
16
ff - 25?
h = 11
3
h = 5
h = 7
6
21
2

Answers

Answer:

the answer to the problem is h=7

The manager of a restaurant determined that the odds against a customer ordering dessert are 11/12 . What is the probability of a customer ordering dessert?

Answers

Answer:

1 out of 12

Step-by-step explanation:

12-11=1

Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m

Answers

Answer:

8 x m = 45

Step-by-step explanation:

cassie has 9 times which means multiplcation so its the first one

20x+x-2=4 rational equation​

Answers

Answer:

x = 2/7

Step-by-step explanation:

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for x

Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7

Step 3: Check

Plug in x to verify it's a solution.

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

Answer:

x = 2/7

Step-by-step explanation:

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?

Answers

Answer:

I think its 3/2

hope it will help you

Question 1
1 pts
The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting
for x hours. How much money will he make for 2 hours of babysitting work?
2.
0-2
O-3
O 18

Answers

Answer:

18 would be yr answer

Step-by-step explanation:

4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B

Answers

Answer:

I'd say 50

Step-by-step explanation:

I just divided 150 by 3 since I only saw 3 toppings.

what does they y represent in the equation y=mx+b​

Answers

Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Express the percent as a decimal. { 98% }

Answers

Answer:

98.

Step-by-step explanation:

Answer:

0.98 would be the 98% as a decimal

What does it mean to divide a number by
a fraction (e.g., ¾)?

Answers

Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷[tex]\frac{3}{4}[/tex]

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·[tex]\frac{4}{3}[/tex]

Now, just multiply and reduce/simplify the fraction if needed

Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce

Hope that helps!!

Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?

Answers

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Please help ASAP! All questions.

Answers

Answer:

I think i don't really know its been awhile for me.

Step-by-step explanation:

But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.

I may not be right.

So please don't hate i tried.

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)

help plz brainless you help me

Answers

Answer:

24.85 or rounded to 24.9

Step-by-step explanation:

Conversion

K H D____D C M

The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.

Calculation of the number of miles:

Since

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.

And we know that

1 mile ≈ 1.6 kilometers

So,

[tex]= 40 \div 1.6[/tex]

= 25 miles

hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.

Learn more about miles here: https://brainly.com/question/13208356

a cruise ship sailed for 9 hours at a speed of 18 miles per hour how far did a cruise ship sell ​

Answers

Answer:

162 miles

Step-by-step explanation:

Step 1:

9 : 18          Rate

Step 2:

9 × 18        Equation

Answer:

162 miles        Multiply

Hope This Helps :)

3. Use the equation y = 3.2x + 5
to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.

Answers

Answer/Step-by-step explanation:

Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.

When x = 1:

y = 3.2(1) + 5

y = 3.2 + 5

y = 8.2

When x = 2:

y = 3.2(2) + 5

y = 6.4 + 5

y = 11.4

When x = 4:

y = 3.2(4) + 5

y = 12.8 + 5

y = 17.5

You have the following table:

x | y

1 | 8.2

2 | 11.4

4 | 17.5

To find out if y is proportional to x, find the ratio of y to x of each pair in the table.

x | y | ratio of y to x (y/x)

1 | 8.2 | 8.2/1 = 8.2

2 | 11.4 | 11.4/2 = 5.7

4 | 17.5 | 17.5/4 = 4.375

As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.

Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving

What do the points on the graph mean in this context? Select all that apply.

For every 3 cups of fruit, there is 1 cup of nuts.

For every 1 cup of fruit, there are 3 cups of nuts.

For every 2 cups of fruit, there are 6 cups of nuts.

For every 6 cups of fruit, there are 2 cups of nuts.

For every 12 cups of fruit, there are 4 cups of nuts.

Answers

Answer: 1st, 4th & 5th .

Answer:

1st, 4th, and 5th

Step-by-step explanation:

find 759 divided by 3

Answers

Answer:

253 .....is that it??

Step-by-step explanation:

Answer:

253!

Step-by-step explanation:

Analyzing a Linear Function Expressed in Different Ways Choose the true statements. A linear function is expressed by a graph of a line that crosses both axes at the origin. An equation is written in slope-intercept form to express the same function as shown in the graph. From just this information, what statements can be made? A) The slope of the equation must be positive. B)The y-intercept of the equation is zero. C) It is possible that the line on the graph is horizontal. D) The slope of the equation must be negative.​

Answers

Answer: The answer is option B and option C.

Answer:

B and C

Step-by-step explanation:

Help me out please I need help

Answers

it would be 7ounces/minute

you just need to figure out what the difference of an hour and a minute is. an hour=60 minutes so you would want to divide 420 by 60 to get your answer
420/60=7 so seven ounces per min.

Rewrite the expression by factoring out (w-7).
3w2(w– 7) - 5(w-7)

Answers

(W-7)(3w^2-5)
I think this is what they mean by factoring it out
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