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
goldenfox [79]
3 years ago
5

Write the complex number in the form a + bi. square root of six(cos 315° + i sin 315°)

Mathematics
2 answers:
topjm [15]3 years ago
4 0

Answer:

\sqrt{3} -i\sqrt{3}

Step-by-step explanation:

The given complex number is,

\sqrt{6}(\cos 315^{\circ} + i \sin 315^{\circ})

we know that,

\sin 315^{\circ}=-\dfrac{1}{\sqrt2} and

\cos 315^{\circ}=\dfrac{1}{\sqrt2}

Putting the values,

=\sqrt{6}\left(\dfrac{1}{\sqrt2} -i\dfrac{1}{\sqrt2}\right)

=\sqrt{2}\sqrt{3}\left(\dfrac{1}{\sqrt2} -i\dfrac{1}{\sqrt2}\right)

=\sqrt{2}\sqrt{3}\left(\dfrac{1}{\sqrt2}\right) -i\sqrt{2}\sqrt{3}\left(\dfrac{1}{\sqrt2}\right)

=\sqrt{3} -i\sqrt{3}

tamaranim1 [39]3 years ago
3 0
a=\sqrt6\cdot \cos 315=\sqrt 6 \cdot\dfrac{\sqrt2}{2}=\dfrac{\sqrt{12}}{2}=\dfrac{2\sqrt3}{2}=\sqrt3\\
b=\sqrt6\cdot \sin 315=\sqrt 6 \cdot\left(-\dfrac{\sqrt2}{2}\right)=-\dfrac{\sqrt{12}}{2}=-\dfrac{2\sqrt3}{2}=-\sqrt3\\\\
a+bi=\sqrt3-\sqrt3i
You might be interested in
The slope of a line is2/3 . What is the slope of a line that is perpendicular to this line? A-3/2 B-2/3 C2/3 D3/2
slamgirl [31]

Answer:

i believe it is C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 2,578 divided by 7??
Nookie1986 [14]
368.2 is the answer!
5 0
3 years ago
Read 2 more answers
What is the product of three tenths and four hundredths
Ipatiy [6.2K]
Picture is to blurry fix the pic and I will answer it if I can
3 0
3 years ago
Express each of the following parcentages as a decimal d)0.02%​
cluponka [151]

Answer:

0.0002

Step-by-step explanation:

5 0
3 years ago
Find the missing angle <br> 50 points
Gemiola [76]

Answer:

i believe it is 73 degrees

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • The integer -3 would BEST represent which of these events? A) I only B) III only C) I and III only D) II and III only im g
    14·2 answers
  • Giving Brainliest if right!!
    8·1 answer
  • Jen Butler has been pricing speed pass train fares for a group trip to New York. Three adults and four children must pay to $124
    9·1 answer
  • Which is likely to have a mass close to 700 grams?
    7·1 answer
  • How far would she have walked if she kept the same pace?
    11·2 answers
  • parallelogram ABCD angle B equals 5x and angle C equals 2x+12. What is the number of degrees in angle D
    15·2 answers
  • Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figuri
    5·2 answers
  • What is the distance between (-8,2) and (4,4)
    8·1 answer
  • Which represents “4 more than one half a number”?
    8·2 answers
  • im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!