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
bija089 [108]
2 years ago
6

I) Express Z1 in polar Form a) Z1=1-(2-√3)i (complex number)

Mathematics
2 answers:
Marianna [84]2 years ago
8 0

Answer:

z_1=1-(2-\sqrt{3})i=2\sqrt{2-\sqrt{3}}[cos(\frac{23\pi}{12} )+isin(\frac{23\pi}{12} )]

Step-by-step explanation:

Recall that a+bi=r(cos\theta+isin\theta) where r=\sqrt{a^2+b^2} and \theta=tan^{-1}(\frac{b}{a}).

Since a=1 and b=-2+\sqrt{3}, then r=\sqrt{(1)^2+(-2+\sqrt{3})^2}=2\sqrt{2-\sqrt{3}} and \theta=tan^{-1}(\frac{-2+\sqrt{3}}{1})=-\frac{\pi}{12}=\frac{23\pi}{12}.

Therefore, z_1=1-(2-\sqrt{3})i=2\sqrt{2-\sqrt{3}}[cos(\frac{23\pi}{12} )+isin(\frac{23\pi}{12} )]

kicyunya [14]2 years ago
7 0

Step-by-step explanation:

hope it will help you thank you

You might be interested in
Formulas and Literal Equations
miskamm [114]

Answer:

x = 23

Step-by-step explanation:

Given, \frac{x - 5}{2} = 9, solve for x.

Multiply both sides by 2

\frac{x - 5}{2} \times 2 = 9 \times 2

x - 5 = 18

Add x to both sides

x - 5 + 5 = 18 + 5

x = 23

7 0
3 years ago
A rectangular swimming pool is 30 feet wide and 40 feet long. How long is the diagonal of the pool?
larisa [96]

Answer:

50 feet

Step-by-step explanation:

Use the Pythagorean Theorem to find the diagonal (or the hypotenuse)

30²+40²=x²

900+1600=x²

√2500=√x

x=50 feet

3 0
3 years ago
Susan worked 5 out of 8 hours during the day what percentage of the day does she work
Aleksandr-060686 [28]
5/8 * 125/125 = 625/1,000 = 0.625
62.5 percent
Solution: 62.5%
4 0
2 years ago
Read 2 more answers
Please help me with this question!
MakcuM [25]
<span><span>x=<span><span>​<span>20</span></span>​<span>​<span><span>(y−3)</span><span><span>​2</span><span>​​</span></span></span></span><span>​​</span></span>−1</span><span>
</span></span>
5 0
3 years ago
Lines m and n are cut by transversal l. which angle relationships are correct? check all that apply.
stich3 [128]

Answer:

1,2,5

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Analyze the linear inequalities and determine if the solution set is the shaded region above or below the boundary line.
    9·1 answer
  • Complete this expression using the distributive property: 5(4 + 8) = 5 MINUTES PLEASEE I WILL GIVE YOU SOOO MUCH POINTSS!!!
    5·2 answers
  • At a party 70 people are right handed and 12 people are left handed. What is the ratio of right handed people to the total numbe
    15·1 answer
  • What is greater 3 over 8 or 0.75
    5·2 answers
  • If the height is 11 cm and the area is 260.15 cm2 what is the base help please I am just in 6 grade
    13·2 answers
  • PLEASE HELP ASAP I WILL MARK BRAINLIEST IF THERE ARE MULTIPLE ANSWERS!!!!!
    8·1 answer
  • Responda as expressões 2x+3x+5x:​
    6·2 answers
  • 5+877-6748+8478-7787hhhbyhhybttghhb
    12·2 answers
  • Match the equivalent expressions
    5·1 answer
  • Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!