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
8_murik_8 [283]
3 years ago
12

Express the complex number in trigonometric form.

Mathematics
1 answer:
Maru [420]3 years ago
7 0
-5i can be written as 0 + (-5)i
It is in the form a+bi where a = 0 and b =-5
So the point (a,b) is (0,-5)

The distance from the origin to this point is 5 units, therefore r = 5. This is the magnitude. 

The angle is 270 degrees as shown in the attached image. You start on the positive x axis and rotate until you reach the point (0,-5)

This is why the answer is choice A) 5(cos(270) + i*sin(270))

You might be interested in
Can someone help me
djverab [1.8K]

Step-by-step explanation:

10)

any triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

the arc angle of 84° means that also the angle at Q is 84°, because the arc angle is the same as the segment angle at the center of the circle (that is how arc sngles are defined).

that means the supplementary angle (together they have 180°) of Q at the inner top angle of the small left triangle is 180 - 84 = 96°.

as the legs of this small left triangle are both the radius of the circle, this triangle is an isoceles triangle (both legs are equally long, and both angles at its baseline are equally large).

remember, the sum of all angles in a triangle is always 180°.

so,

y = (180 - 96)/2 = 42°

x is a complimentary angle (together they are 90°, remember, the large triangle is inscribed and is right-angled) to the second 42° angle

x = 90 - 42 = 48°

11)

y is the supplementary angle to 126°

y = 180 - 126 = 54°

this inner segment angle is the mean value between the 2 outer angles.

54 = (57 + 2nd outer angle of y)/2

108 = 57 + 2nd outer angle of y

2nd outer angle of y = 108 - 57 = 51°

all arc angles around a circle must be 360°.

x = 360 - 57 - 104 - 51 = 148°

12)

again, all arc angles together must be 360°.

y = 360 - 148 = 212°

x is the same angle as the top angle of a triangle inscribed to the right of the chord.

and that angle is half of the opposing arc angle (148°).

it is therefore 148/2 = 74°

and so,

x = 74°

6 0
2 years ago
Help meeeeeeeeeeeeeeeweeeeeeeeeeeeeeeee​
Yuri [45]

Step-by-step explanation:

This can be put into fractions like this

Say x is the length of the missing dimension

8.5/11 = 10.5/x

Because the 2 drawings are SIMILAR, the ratio of their side lengths has to also be the same

8.5 ÷ 10.5 = 0.8095

11 × 0.8095 = 8.9047

Roung the answer to the nearest tenth

x = 8.9 in

5 0
3 years ago
The volume of a book is 60 cubic inches.If a large box holds about 12 books,estimate the volume of a large box
Katyanochek1 [597]
The answer is:  720 in³  .
_____________________________________
Explanation:
_____________________________________
  60 in³ * (12) = 720 in³ .
_____________________________________
6 0
3 years ago
Pic attached for further detail
marissa [1.9K]
I dont get what you asking
8 0
3 years ago
For the right triangle with side of lengths 5 12 and 13, find the length of the radius of the inscribed circle
I am Lyosha [343]
Hi,
r*(5+12+13)=5*12\\\\

r= \dfrac{60}{30} \\

\boxed{r=2}
3 0
3 years ago
Other questions:
  • Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets
    8·1 answer
  • What is 1 2/3 in improper fraction
    15·2 answers
  • What is 9/10-(BLANK)=1/5????????? HEEEEEEEELLLLLPPP MEEEEEEE
    10·2 answers
  • Please tell me in order which one is greatest and which one is the least I need it at least the greatest please hurry up
    15·1 answer
  • The radius of a circle is 3 centimeters. What is the circle's circumference?
    5·1 answer
  • Which model represents -2 -3?
    11·1 answer
  • PLZZZZZZ NEED HELP!!!!!
    11·1 answer
  • The manager of a garden shop mixes grass seed that is 60% rye grass with 140 pound of grass seed that is 80% rye grass to make a
    9·1 answer
  • So you go to the store one day with 50$ to spend. You wanna buy some apples and some pears. The apples are 5$ per pack (3 in eac
    9·2 answers
  • What is 8 squared? Please help
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!