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
nata0808 [166]
2 years ago
8

%29%29" id="TexFormula1" title="6/5 (cos(120) + isin(120)) 3/5 (cos(45) + i sin(45))" alt="6/5 (cos(120) + isin(120)) 3/5 (cos(45) + i sin(45))" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
marysya [2.9K]2 years ago
4 0

The product is equal to:

\frac{18}{25}(cos(165) + i*sin(165))

<h3>How to solve the product?</h3>

Remember that we can write a complex number in polar form as:

R*e^{i*a} = R*(cos(a) + i*sin(a))

Then the given product:

\frac{6}{5}*(cos(120) + i*sin(120))*\frac{3}{5}*(cos(45) + i*sin(45))

can be rewritten to:

(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})

Now is easier to solve the product:

(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})\\\\= \frac{6}{5} *\frac{3}{5} *e^{i*(120 + 45)}\\\\= \frac{18}{25}*e^{i*165}\\\\=  \frac{18}{25}(cos(165) + i*sin(165))

If you want to learn more about complex numbers:

brainly.com/question/10662770

#SPJ1

You might be interested in
Is the measure of Z1 equal to the measure of Z2?<br> Why?
VMariaS [17]

Answer:

Angles with the same measure are congruent, so Z1 = Z2.

Step-by-step explanation:

5 0
3 years ago
Can someone please answer all of the questions?
In-s [12.5K]
6F 7T 8F 9F there :D
7 0
3 years ago
Read 2 more answers
Find all the real square roots of –(9/16)
beks73 [17]
We are asked t determine the real square root of -(9/16). the square root of a negative number is an imaginary number hence the answer to this problem is A. no real root. If this number is a positive number, then the answer would have been +-3/4
7 0
3 years ago
Read 2 more answers
How do you do these questions?
Sophie [7]

Answer:

f(x) = 2π (11 + sin x) √(1 + cos²x)

Step-by-step explanation:

Surface area of a curve rotated about y = a is:

S = ∫ 2π (y − a) ds,

where ds = √(1 + (dy/dx)²) dx.

y = 6 + sin x, and a = -5.  dy/dx = cos x.  Plugging in:

S = ∫₀²ᵖⁱ 2π (6 + sin x − -5) √(1 + cos²x) dx

S = ∫₀²ᵖⁱ 2π (11 + sin x) √(1 + cos²x) dx

Therefore, f(x) = 2π (11 + sin x) √(1 + cos²x).

3 0
3 years ago
I have 10 hundreds blocks, 5 ones blocks, and 8 tens blocks. I use all my blocks to model two 3-digit numbers. What could my two
Len [333]
Do u have to use all of them? If not they could be 182 or 343
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the relationship between a conjecture, a theorem, two column proof
    13·1 answer
  • Please help solve
    8·2 answers
  • Chelsea and her family are taking a road trip. they leave their home in flowery branch Georgia and drive to Nashville which is 1
    14·1 answer
  • Find the length of AB<br><br> A.) 2<br> B.) 6<br> C.) 21<br> D.) 31
    6·2 answers
  • Solve the system x-z=5, 2x+y= 7, y+3z=12
    8·1 answer
  • What is the range of the exponential function shown below?
    8·1 answer
  • _________ is the displacement of an object during a specific unit of time.
    5·2 answers
  • 5 *6.022*10000000000000000000000​
    10·1 answer
  • Which number sentence shows that the sum of a number and its opposite is 0?
    5·2 answers
  • Find the equation of the line that goes through the points (3,8) and (9,16).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!