Question

Express the complex number in trigonometric form.

-2

Answer 1

angle is \(\pi\) and \(|-2|=2\) so
\[2\left(\cos(\pi)+i\sin(\pi)\right)\]

Answer 2

would pi then be 0?

Answer 3

2(cos 0° + i sin 0°) so that would be the answer

Answer 4

\(\pi=\pi\) not \(0\) but \(\sin(\pi)=0\)

Answer 5

?

Answer 6

if you are working in degrees (which you should not be, but maybe you are) it would be 90 degrees

Answer 7

zero radians is zero degree
\(\pi\) radians is 90 degrees

Answer 8

oh so it would be 2(cos 90° + i sin 90°) then?

Answer 9

yes it would

Answer 10

ok thank you.. could you help me on a few more?

Answer 11

easy check since \(\cos(90)=-1\) and \(\sin(90)=0\) so you get \(-2=-2\)

Answer 12

go ahead an post

Answer 13

Express the complex number in trigonometric form.

3 - 3i

Answer 14

or Find the cube roots of 27(cos 330° + i sin 330°) show work

Answer 15

angle for this one is 315 since you seem to be working in degrees

Answer 16

and \(r=\sqrt{3^2+3^2}=\sqrt{2\times3^2}=3\sqrt{2}\)

Answer 17

so you get
\[3\sqrt{2}\left(\cos(315)+i\sin(315)\right)\]

Answer 18

so would it be 3sqrt2(cos 7pi/4 +isin7pi/4)?

Answer 19

for the second one
the cubed root of 27 is 3, and \(330\div3=110\) so you get for one cubed root
\[3\left(\cos(110)+i\sin(110)\right)\]

Answer 20

oh now you switch to radians?? yes

Answer 21

was i right on the other one?

Answer 22

srry yes

Answer 23

yes, but it is confusing to use degrees on one question and radians on the next weird

Answer 24

but if that is how they come, then so be it

Answer 25

im sorry yeah !

Answer 26

so for the 2nd question where do i go after that?

Answer 27

now for the next one, divide the angle by 3 and get 110
that part is easy

Answer 28

go around the circle again

Answer 29

330+360 = 690 now divide by 3 and get 230

Answer 30

so another answer is \[3\left(\cos(230)+i\sin(230)\right)\]

Answer 31

now one more time

Answer 32

thatd be the answer for the 2nd one?

Answer 33

yeah

Answer 34

ok thank you!! woulld u no this one
Express the complex number in trigonometric form.

-6i

Answer 35

690 + 360 = 1050 divide by 3 and get 350 for the last one

Answer 36

angle is \(\frac{3\pi}{2}\) or 270 depending on what you are using
absolute value is 6

Answer 37

so you can write
\[-6i=6\left(\cos(270)+i\sin(270)\right)\]

Answer 38

are you doing the same assignment as @lexlover123 ?

Answer 39

6(cos 270° + i sin 270°) so that would be the answer?

Answer 40

and whose that? im not sure?

Answer 41

yup

Answer 42

someone posting almost identical questions here
not sure who it is

Answer 43

gotta run, good luck

Answer 44

really? thats weird.. but thankyou!! so much!!!

Answer 45

yw