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
Softa [21]
3 years ago
15

Express the complex number in trigonometric form. 2 - 2i

Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0
Trigonometric form of the complex number :  z = 2 - 2 i :
z = r ( cos t + i sin t )
r = | z | = √ ( 2² + (-2)² ) = √(4+4) = √8 = 2√2
t ( theta ) = tan^(-1) (-2 / 2 )= tan^(-1) (- 1 ) = - π / 4
z = 2√2 · ( cos (-π/4) + i sin (-π/4) ) =
= 2√2 · (  cos π/4  - i sin π/4 )
JulijaS [17]3 years ago
5 0

Answer:

a+ib=2sqrt2(cos7pi/4+isin7pi/4)

Step-by-step explanation:

a+ib=r (cos theta+isin theta)

r=sqrt a^2+b^2

r=sqrt (2)^2 +(-2)^2

r=2sqrt 2

theta=tan^-1(y/x) or (a/b)

theta= tan^-1(-2/2)

theta=-45 degrees

Now, I know that theta is in the fourth quadrant because cos (x-value) is positive. So, I am going to subtract my value from 360 degrees.

360-45= 315

theta=315

I can convert degrees to radians (if need be): 315 times pi/180= 7pi/4

Theta=7pi/4 r=2sqrt2

Substitute: a+ib=2sqrt2(cos7pi/4+isin7pi/4)       this is radian format

or... a+ib=2sqrt2(cos 315+isin315)                       this is degree format

You might be interested in
Hlo friends good morning
NikAS [45]

arey. buy deepa notes no need to complicate it

8 0
2 years ago
The formula for the area of a rectangle is: A = lw How could we solve this equation for the width, w? А. We want to get w by its
Darya [45]

Answer:

A)

Step-by-step explanation:

lw=A

divide both sides by l

lw÷l=A÷l

w=A÷l

4 0
3 years ago
Identify the quadratic term in the function f(x)=2x^2-3x+5
Leviafan [203]
The quadratic term is 2x^2.
7 0
3 years ago
ILL GIVE YOU BRAINLIEST
kirza4 [7]

Answer:

D

Step-by-step explanation:

Brainliest?

8 0
2 years ago
Read 2 more answers
What is value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
Ganezh [65]

Answer:

I belive x=4.9

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • The fluoride minimum is 3 and maximum is 10
    15·1 answer
  • Hi !! help please :d I can't figure this one out
    6·2 answers
  • A long ramp that leads to a building entrance is 45 feet. The stairs to the entrance have a vertical height of 6 feet. What is t
    15·1 answer
  • When dividing x2 + 3x − 17 by x + 5, what divisor do you use in synthetic division?
    6·1 answer
  • Help me plz math is a struggle
    8·2 answers
  • What is the missing reason for line 3 in this proof? LZM
    9·1 answer
  • Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3
    9·2 answers
  • 1. Many Alpine ski centers base their calculations of revenues and profits on the belief that the average skier ski’s four times
    13·1 answer
  • When a number cannot be divided evenly, the amount left over is called the
    6·1 answer
  • What property is being illustrated -1/3 + 1/3 = 0
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!