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
tensa zangetsu [6.8K]
3 years ago
13

WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i

Mathematics
2 answers:
bija089 [108]3 years ago
7 0

Answer:

in degrees the answer is 5 (cos 270 + i sin 270)

in radians the answer is 5 (cos (3pi/2) + i sin (3pi/2))

Step-by-step explanation:

trasher [3.6K]3 years ago
4 0

Answer:

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

z=r(\cos \theta +i\sin \theta)

where, r=\sqrt{a^2+b^2} and \tan \theta=\dfrac{b}{a}, \theta is called the argument of z, 0\leq \theta\leq 2\pi.

The given complex number is -5i.

It can be rewritten as

z=0-5i

Here, a=0 and b=-5. \theta lies in 4th quadrant.

r=\sqrt{0^2+(-5)^2}=5

\tan \theta=\dfrac{-5}{0}

\tan \theta=\infty

\theta=2\pi -\dfrac{\pi}{2}    [\because \text{In 4th quadrant }\theta=2\pi-\theta]

\theta=\dfrac{3\pi}{2}

So, the trigonometric form is

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

You might be interested in
Find the value of x. x√5=x^4​
Kaylis [27]

Answer:

x=0,\sqrt[6]{5}

Decimal form,

x=0,1.30766048......

Step-by-step explanation:

x\sqrt{5}=x^{4}

x\sqrt{5}-x^{4}=0

(take x as a common factor)

x(\sqrt{5}-x^{3})=0

So,

x=0 and \sqrt{5}-x^{3}=0

for \sqrt{5-x^{3}=0

(add x^{3} for both sides)

\sqrt{5}=x^{3}

x=\sqrt[3]{\sqrt[2]{5} } (multiply 3 by 2)

x=\sqrt[6]{5}

So,

x=0,\sqrt[6]{5}

5 0
2 years ago
Maria, Carolina and Pedro receives $1600 from their grandfather in ratio 7:5:4. calculate share of each.
Nimfa-mama [501]

Step-by-step explanation:

<em>here's</em><em> your</em><em> solution</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>total</em><em> </em><em>money </em><em>received</em><em> </em><em>by </em><em>them </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>the </em><em>given </em><em>ratio </em><em>are </em><em> </em><em>7</em><em>:</em><em>5</em><em>:</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>let </em><em>the </em><em>ratio </em><em>be </em><em>X </em><em>,</em><em>now</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Maria </em><em>=</em><em> </em><em>7</em><em>X</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Carolina</em><em> </em><em>=</em><em> </em><em>5</em><em>X</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Pedro </em><em>=</em><em> </em><em>4</em><em>X</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>w</em><em>e </em><em>know </em><em>whole </em><em>money </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>so,</em><em> </em><em>adding</em><em> </em><em>all </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em>. </em><em>7</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>4</em><em>x</em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>1</em><em>6</em><em>x</em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em> </em><em>x=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em><em>/</em><em>1</em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em>. </em><em>x </em><em>=</em><em> </em><em>$</em><em>1</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>now </em><em>Maria</em><em> </em><em>=</em><em> </em><em>7</em><em>*</em><em>1</em><em>0</em><em>0</em><em> </em><em>=</em><em> </em><em>$</em><em>7</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>Carolina</em><em> </em><em>=</em><em> </em><em>5</em><em>*</em><em>1</em><em>0</em><em>0</em><em> </em><em>=</em><em> </em><em>$</em><em>5</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>Pedro</em><em> </em><em>=</em><em> </em><em>4</em><em>*</em><em>1</em><em>0</em><em>0</em><em> </em><em>=</em><em> </em><em>$</em><em>4</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em>hope it</em><em> helps</em>

8 0
3 years ago
During the​ women's basketball championship​ game, team a scored 33 more points than team
Olin [163]
Team A scored a total of 80,597 points I believe

161,161 + 33 = 161,194
161,194 ÷2 = 80,597
80,597- 33 = 80,564
80,564 + 80,597 = 161,161
4 0
3 years ago
Which point is between polnts C and E?
Sever21 [200]

Answer:

S

Step-by-step explanation:

3 0
3 years ago
here's a graph of a linear function. write the equation that describes that function. express it in slope intercept form. HELP!
IRISSAK [1]

Answer:

y=\frac{3}{4}x+2

Step-by-step explanation:

So when you express a linear function in slope-intercept form it's given in the form of y=mx+b, where m is the slope, and b is the y-intercept. This is because as x increases by 1, the y-value will increase by m (because multiplication), and since the slope is defined as rise/run, the rise will be m, and run will be 1, giving you a slope of m/1 or m. The reason b is the y-intercept, is because whenever the linear function crosses the y-axis, the x-value will always be 0. Meaning that mx will be 0 because m * 0 will equal 0... and that leaves b by it self, so b will determine the y-intercept.

So if you look at the graph, the linear function crosses the y-axis as (0, 2) so the value of b will be 2. This gives you the equation y=mx+2.

Now to calculate the slope, we can take any two points and see how much the rise was and how much the run was. It can also be more formally defined in the equation: y=\frac{y_2-y_1}{x_2-x_1}. So let's take the points (0, 2) and (8, 8). As you can see the x-value increases by 8 or "ran" by 8, and the y-value increased by 6. So the rise over run in this case is 6/8 which can simplified as 3/4. That is the slope. This gives you the complete equation of: y=\frac{3}{4}x+2

6 0
1 year ago
Other questions:
  • Which expressions are equivalent to 5+(-3)(6x-5)?
    11·1 answer
  • Need help with this question what’s the correct answer for this
    13·1 answer
  • Which test point holds true for 2/5x-1/5y≥0
    5·1 answer
  • Instructions:Type the correct answer in each box.
    10·1 answer
  • Which best describes the angles of some parallelograms?
    7·2 answers
  • The first term in a sequence of numbers is 1/2
    8·1 answer
  • 4y -y<br><br><br><br>PLEASE HELP ILL GIVE BRAINLIEST
    14·2 answers
  • HELP PLEASE ITS DUE TOMMOROW AND I HAVE 2 TESTS TO TAKE TODAY D:
    11·1 answer
  • Please help, anything would be very much appreciated
    15·2 answers
  • 8(-x - 7) &gt; 16 I need the answer for it, I honestly don’t get it
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!