Question

Check my answers? :)

Answer 1

Check a and b, I need help with c.

Answer 2

what is this, if i may ask?

Answer 3

Precalc :)

Answer 4

ok ty

Answer 5

Lol, why do you ask?

Answer 6

it'll be easier to help you knowing what im dealing with

Answer 7

stuff like this right?

Answer 8

http://www.themathpage.com/aprecalc/graphs-of-functions.htm

Pretty sure this will help... along with this- https://www.sophia.org/tutorials/precalculus-chapter-1-functions-and-their-graphs.
It will give you a general idea to see if you are correct or along the lines.

Answer 9

First two pages I already know, third on is giving me a 404 error..
I mostly just wanted to know if I was correct :P

Answer 10

ok well let me give it a whirl and ill tell you.

Answer 11

thanks :)

Answer 12

If you are talking about The (c) then I would like to say you are correct...


http://www.mathamazement.com/Lessons/Pre-Calculus/06_Additional-Topics-in-Trigonometry/de-moivres-theorem.html
this identified it... Wasn't ultra familiar with that theorem so sorry for any inconvenience...I believe from what I saw though you are correct with the negative after reviewing the method. Would only be a positive had it been an imaginative number I believe.

Answer 13

"A very important application of De Moivre's Theorem is computing nth roots of complex numbers, where n is a posiive integer."

Answer 14

@zepdrix know this any better than i do, ill be open to suggestions, or if you agree let me know.

Answer 15

Who what? What's happening now?
Oh this question :O(
I was trying to be a jerk face and avoid this one...
It has decimaaaaaaaaaaaaaaaaaaaaaaals :'c

Answer 16

fine ill check it out >:c sec

Answer 17

lol if I could do it you can too zep lol, true hero

Answer 18

Zep! :O how dare you!

Answer 19

For 12 a, they want your z written in polar form,
I don't think they want it written as an ordered pair though.\[\large\rm z=\sqrt{218}(\cos0.49+i \sin0.49)\]Your values look correct though.

Answer 20

:*O

Answer 21

thx zep, lifesaver... i gtg tho have a nice day

Answer 22

Same with b, your values look correct, but write it as a complex number in polar form,\[\large\rm zw=3\sqrt{218}~cis1.924\]

Answer 23

Have good night... Sarck 0_o

Answer 24

Thank you so much zep <3
I have another fun one for you! :D

Answer 25

For part c, woops!
You accidentally divided the radial values backwards.

Answer 26

Oh no D:

Answer 27

But wait... isn't it 2/8?

Answer 28

what?

Answer 29

sqrt(218) was the radial length of your point z,
shouldn't that be on top if we're dividing z by w?

Answer 30

13 looks good

Answer 31

14 looks good

Answer 32

15 looks good,
although it can be simplified a little bit

Answer 33

Cosine is an even function so cos(-x) = cos(x),
Sine is an odd function so sin(-x) = -sin(x)
So our thing\[\large\rm \frac{z_1}{z_2}=\frac14\left[\cos\left(-\frac{29\pi}{30}\right)+i \sin \left(-\frac{29\pi}{30}\right)\right]\]can be written as\[\large\rm \frac{z_1}{z_2}=\frac14\left[\cos\left(\frac{29\pi}{30}\right)-i \sin \left(\frac{29\pi}{30}\right)\right]\]

Answer 34

Oh, you're right! (about the dividing the radicals backward on part c of the first page)
Would the answer be sqrt218/3(cos(-1.43) + isin(-1.43)) ?

Answer 35

No.
You accidentally subtracted the angle from zw from z.

Answer 36

Argggdonnit
Hold on.

Answer 37

-1.046?

Answer 38

0.494 - 1.43

Answer 39

Got it. Thank you SO much zep

Answer 40

yay team