Question

Show that cos(wt-b), cos(wt) and sin(wt) are functions of "t" linearly independent

Answer 1

need help @nvafer

Answer 2

Yes please @bonnieisflash1.0

Answer 3

okay i can help

Answer 4

what do you mean with your question

Answer 5

this website can help i think https://books.google.com/books?id=TUTOBQAAQBAJ&lpg=PA126&ots=f0tjtiBXt1&dq=Show%20that%20cos(wt-b)%2C%20cos(wt)%20and%20sin(wt)%20are%20functions%20of%20%22t%22%20linearly%20independent&pg=PA140#v=onepage&q&f=false

Answer 6

I have to find a way to demonstrate that cos(wt-b), cos(wt) and sin(wt) are functions of "t" linearly independent i.e. that i can express one interms of other one

Answer 7

got a website it can help

Answer 8

that's a lot i know but don't read the whole thing

Answer 9

i can't give answers away help you so you can understand

Answer 10

It's the same my book has but i dont get it, maybe using some trigonometrical function

Answer 11

maybe

Answer 12

I know well thanks anyways

Answer 13

your welcome

Answer 14

still need help tho

Answer 15

i can always help

Answer 16

well bye @nvafer

Answer 17

check the Wronskian.

Answer 18

@nvafer

Answer 19

@jango_IN_DTOWN im working on that thanks

Answer 20

the wronskian is zero so the given quantities are linearly dependent

Answer 21

hi lienarly independant means u cant express in terms of the otehr

Answer 22

\[\cos(\omega t-b)=\cos\omega t\cos b+\sin\omega t\sin b\]where \(\cos b\) and \(\sin b\) are presumably constant. So immediately you can see that the first function is a linear combination of the other two.