Question

how do i label a unit circle that is divided into 16 slices

Answer 1

start from the x-line

Answer 2

where theta = 0

Answer 3

now uve got to make 16 slices
whts the total angle of the circle?

Answer 4

??

Answer 5

see the total angle of a circle is 360 degrees
now uve got to divide into 16 parts

360/16 = 45/2
= 22.5 degrees

Answer 6

so now u have to label at intervals of 22.5 degrees..so now mark the multiples of 22.5

Answer 7

u understand?

Answer 8

yes I understand that part. Now, how do I find the roots of x^16-1.

Answer 9

is the unit circle to be divided into 16 evenly?
if not you could just have one chunk as 346 degrees then the last 15 as the other fifteen divisions

Answer 10

ok so now uve got to mark the roots of x^16 = 1

Answer 11

weve divided the circle into 16 parts...so now we just mark all the multiples of 22.5
those are the roots of x^16 = 1

Answer 12

The question is basically ask to find roots of x^16-1 then it ask what information does it contain about the trigonometric functions. So I am not sure if it would be even parts or not. I figured dividing the circle would be my easiest approach but doesn't look so easy

Answer 13

okay, give me one sec I am making the circle

Answer 14

see for the trig part
the roots turn up as coordinate points, the values of which are the values of different trig ratios

Answer 15

joemath please dont strt using the euler form

Answer 16

>.> fine haha

Answer 17

cz she has no idea right now

Answer 18

Okay once i have the circle what do I do

Answer 19

Geeze Him, way to make me feel better about myself. lol He is right I am clueless

Answer 20

no i didnt mean it that way...its just that u havent studied it maybe...thats y..no offence..if u want i cn teach u

Answer 21

him's judgement is correct, i would have complicated things a lot more by putting my solution up

Answer 22

No I am not offended. Its new to me. Yes its hard and confusing but i enjoy it and want to learn it. My teachers so far have not been so good teaching it

Answer 23

nvm..we can be ur teachers..u chose to ignore me last night...bt i still wld like to teach u

Answer 24

so u have the unit circle..and now we can start marking the points

Answer 25

yes I have the circle and points

Answer 26

make a mark on the circle where theta=0

Answer 27

have u marked all the points?

Answer 28

yes
so at 0 you want me to put theta

Answer 29

no no...if uve marked all the points...u can see these points represent the roots of ur eqn

Answer 30

come to chat..its much faster

Answer 31

how do i do that

Answer 32

group chat on the bottom right is flashing orange

Answer 33

u understand now? look at the figure...(a,b) is ur complex number, now tell me whts cos theta?

Answer 34

0

Answer 35

Hey liz m sorry m not going to be there this evening....please manage on ur own tonyt..im sure loads f ppl will be there fr u...dont worry....ill be there at night..sorry