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
Mnenie [13.5K]
3 years ago
9

Please HELP!!!!

Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer:


Step-by-step explanation:

Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.

When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.

Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?

What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!

Putting all of this together gives us:

z = |mag|*(cos(angle) + isin(angle))

= 2*cos(270°) + isin(270°)).

To verify, let's consider what cos(270°) and sin(270°) are.

If you graph cos(x) and look at 270°, you get 0.

If you graph sin(x) and look at 270°, you get -1.

So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.

You might be interested in
Determine the slope and y-intercept of each graph. Then, write the equation of the graph in slope-intercept form.​
Eva8 [605]

Answer:

-3/2=slope

y-int = (0,1)

Equation= Y=-3/2x+1

Step-by-step explanation:

7 0
2 years ago
18)
kondor19780726 [428]
If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.
7 0
2 years ago
I don’t understand this at all
Mnenie [13.5K]

Answer:

B = 61.0

Step-by-step explanation:

Since this is a right angle, we can use trig functions

sin theta = opp side/ hypotenuse

sin B = 7/8

Take the inverse of each side

sin ^-1 ( sin B) = sin ^ -1 (7/8)

B =61.04497563

To the nearest tenth

B = 61.0

5 0
2 years ago
Which is the solution for the equation y=5x+3
garri49 [273]

x =  \frac{y - 3}{5}

6 0
3 years ago
Plzzzzzzz help quys
avanturin [10]
They are both periodic functions that look like waves.  They both have a period of 2pi and oscillate between 1 and -1.
7 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following is a possible long-term health effect of stress?
    9·2 answers
  • Whatis the distributive property of (4-2u+y)(-6)
    13·1 answer
  • What is the median of the data set given below?<br> 19,22, 46, 24, 37,16,19,33
    14·1 answer
  • How do I figure this problem 1/5 &gt; d + 4/5
    8·1 answer
  • One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon? A. 9
    5·2 answers
  • Can you please answer this question? Thank you
    15·1 answer
  • In one game, Jeremy’s quarterback had two touchdown passes,18 complete passes,6 incomplete passes, and 2 interceptions.How many
    15·1 answer
  • I need help on this question
    13·2 answers
  • In the given figure ab parallel cd find the value of x​
    7·2 answers
  • PLS answer quick
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!