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
Which of these numbers 3,4,18,111,123,340,345,456,555 are multiples of 33 but not 9?
LUCKY_DIMON [66]

Answer:

4 and 132

Step-by-step explanation:

4 x 33 = 132

the numbers 4 and 132 have nothing to do with 9, no matter what way you look at them

i hope this helps :)

4 0
3 years ago
Yvonne wants to cover the back of her smartphone with a decorative pattern. If the phone's length is 1/2 foot and width is 1/6 f
allochka39001 [22]

Answer:

1/12 square foot

Step-by-step explanation:

Area of the pattern = LEngth * Width

Given the following

Length = 1/2 foot

Width = 1/6 foot

Area of the pattern = 1/2 * 1/6

Area of the pattern  =1/12 square foot

Hence the area that the decorative pattern will cover will be 1/12 square foot

4 0
2 years ago
Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 10 hours and traveled 640 miles. At wh
Elanso [62]

We can divide the amount he traveled (640) by the time he traveled (10):

640 / 10 = 64.

So Curtis drove 64 miles per hour.

Check:

64 miles per hour multiplied by 10 hours:

64 * 10 = 640

7 0
3 years ago
Read 2 more answers
Simplify 8/9/20 please​
pashok25 [27]
0.05 is the answer next time try and put it in proper format
3 0
3 years ago
How many solutions does this system of
Anettt [7]

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

D) infinitely Many solutions

6 0
2 years ago
Read 2 more answers
Other questions:
  • 1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the v
    13·1 answer
  • The explicit rule for a sequence is an=14-9n <br> What is the recursive rule for the sequence?
    13·2 answers
  • Mary bought wallpaper for her bathroom. She purchased 5 rolls of wallpaper for $48.50. How much does each roll cost?
    14·1 answer
  • Does coordinate m or n represent a greater number​
    7·1 answer
  • Please help 10 points asap​
    9·1 answer
  • A local television station for a city with a population of 500,000 recently conducted a poll where they invited viewers to call
    14·1 answer
  • HELP ME PLEASE!
    5·1 answer
  • Ha- me again<br><br> help me please
    8·1 answer
  • Help help please please
    9·1 answer
  • Simplify a^2-3a2 a^3-8a^2+12a to lowest terms
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!