Question

how is this posibnle https://gyazo.com/d06d8be9f6753d6f7796b2ae71e65e66

Answer 1

what u mean

Answer 2

This is just unit circle

Answer 3

I think I'm ebing an idiot
but this is what im gettting
sin (w 2pi ) = 0
w = n/2

Answer 4

Oh is that suppose to be just w or w_n

Answer 5

cos (w 2 pi) = 1
w ( 2 pi) = (2n+1)pi
w = 2n+1 /2

Answer 6

you're right about sine but cosine = 1 not -1 so you have to have \(2\pi n\)

Answer 7

is it
cos(w 2 pi) = 1
w 2 pi = 2pi n
w = n

Answer 8

Yeah perfect

Answer 9

\[\huge \checkmark\]

Answer 10

but why did the only take the cosine one

Answer 11

I'm like solving a bloody laplace bull pellet

Answer 12

you only have one w, so it has to work for both equations, w=n/2 won't work half of the time you plug it into cosine cause it'll give you cos(pi n) = -1 which is wrong.

Answer 13

like you gotta have both true simultaneously lol

Answer 14

oh
soz im not a neet maths student

Answer 15

thanks bae <3

Answer 16

rofl

Answer 17

<3

Answer 18

i think negative integer values also should work, \(n\in \mathbb{Z}\)

Answer 19

does negative work for lapalce