1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GaryK [48]
3 years ago
5

Find [4(cos15° + isin15°)]^3 and express it in a + bi form.

Mathematics
1 answer:
arsen [322]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 (\frac{\sqrt{2} }{2} + \frac{\sqrt{2} }{2} i )

= 64 (\frac{\sqrt{2} }{2} (1 + i) )

= 32\sqrt{2} (1 + i)

= 32\sqrt{2} + 32\sqrt{2} i

You might be interested in
What in times equals 60
hammer [34]
10x 6=60, 5x12=60 hope that help next time you can always look at a chart
3 0
3 years ago
Which equation represents the line through (0,0) and (3,4)? a. y=3/4x b.y=4/3x c.y=4x d.y=3x
love history [14]

Answer:

b

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3, 4 )

m = \frac{4-0}{3-0} = \frac{4}{3}

y = \frac{4}{3} x → b

3 0
2 years ago
Which of the following expressions has a value of 5? Select all that apply.
worty [1.4K]

Answer: all that has value of 5

A. -3 - (-8)

B. -1 + 6

D. 2 - (-3)

6 0
3 years ago
I need someone to go out with me i am 18
Anna [14]

Answer:

?

Step-by-step explanation:

you're really on brainly trying to find a s/o?

7 0
2 years ago
Read 2 more answers
This is Algebra 1 functions and I'm struggling with this one function-
Kitty [74]

Answer:

38

Step-by-step explanation:

f(-9) is the value of f(x) when x = -9. Therefore, f(-9) = 4 from the graph. Doing the same with g(6), we can see that g(6) = 6. Our expression becomes:

-1 * 4 + 7 * 6

= -4 + 42

= 38

7 0
3 years ago
Other questions:
  • 6. Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay fo
    13·1 answer
  • Sally ordered some pizzas to be delivered the bill for the pizza was m dollars sally tipped the deliverer 15% of the bill
    5·2 answers
  • The measure of angle A is 5 times the measure of its supplement.
    12·1 answer
  • What is 3 x -2? Please answer quickly!!!
    11·1 answer
  • Please help me ASAP!!!
    12·1 answer
  • Evaluate the function for <br> g (-2).<br> If g(x)= -6x+3, find g(-2).
    12·2 answers
  • Can someone please help me graph this I really need help and I’m really confused !!
    10·1 answer
  • It takes 2.5 yards of material to make a dress. Harley's Clothing Design estimates that they can produce 48 dresses each week. I
    6·2 answers
  • Please help help help help help me
    7·1 answer
  • Someone please help me out with this i can't figure out how to do it step by step
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!