2014'ers Chit-Chat Thread (1 Viewer)

[Carrotsticks]

i. Find the least positive integer k such that cos(4pi/7) + isin(4pi/7) is a solution of z^k = 1
ii. Show that if the complex number w is a solution of z^n = 1, then so is w^m, where m and n are arbitrary integers

wtf i'm trying to look for clues to help me but all i see are confusing letters everywhere

For (i), the clue I see is the 4pi/7, and then z^k. When I see z^k we are obviously increasing a complex number to some power.

Think, we should have cis(???) for it to be equal to 1.

In other words, what should I raise cis(4pi/7) to, before it is equal to 1?

 

[Sy123]

Re: The p00n thread

Idk about you but thats a lot to me

why would you need to memorize that

Also that list is redundant, you dont need conj(z1 - z2) = conj(z1) - cong(z2) and you dont need conj(z1/z2) = conj(z1)/conj(z2)

 

[Fawun]

For (i), the clue I see is the 4pi/7, and then z^k. When I see z^k we are obviously increasing a complex number to some power.

Think, we should have cis(???) for it to be equal to 1.

In other words, what should I raise cis(4pi/7) to, before it is equal to 1?

wait why is 4pi/7 a clue?

Well we need cis0 = 1 lol? i don't understand this

 

[Fawun]

Re: The p00n thread

why would you need to memorize that

Also that list is redundant, you dont need conj(z1 - z2) = conj(z1) - cong(z2) and you dont need conj(z1/z2) = conj(z1)/conj(z2)

because what happens if I need it during an exam... lol

 

[Carrotsticks]

wait why is 4pi/7 a clue?

Well we need cis0 = 1 lol? i don't understand this

Does it really have to be cis(0)? How about cis(2pi)? How about cis(4pi)? etc.

See where this is going...?

 

[Carrotsticks]

Re: The p00n thread

because what happens if I need it during an exam... lol

Does it really have to be memorised though? You will indeed need it during an exam (Example is 2011 HSC 4U Question 6 Locus).

That question needed the property |a/b| = |a| / |b|.

 

[Fawun]

Re: The p00n thread

Does it really have to be cis(0)? How about cis(2pi)? How about cis(4pi)? etc.

See where this is going...?

.. no... what does that have to do with z^k = 1? does that mean k = 0????? smh

Does it really have to be memorised though? You will indeed need it during an exam (Example is 2011 HSC 4U Question 6 Locus).

That question needed the property |a/b| = |a| / |b|.

Well yeah I mean how else would I know to use a property if I don't memorise it lol

 

[Carrotsticks]

Suppose we let z=cis(4pi/7).

What can we raise z to, before it becomes equal to 1?

 

[Fawun]

Suppose we let z=cis(4pi/7).

What can we raise z to, before it becomes equal to 1?

oOooOoOOoOooO is it 7? because if we use De Moivre's theorem then it would be cis4pi

 

[Carrotsticks]

oOooOoOOoOooO is it 7? because if we use De Moivre's theorem then it would be cis4pi

Yep =)

 

[Fawun]

Yep =)

fuck yes i got dis thanks!

 

[rumbleroar]

god forbid i ever do an arts degree...the amount of reading that needs to be done for an english portfolio is overwhelming, let alone all the reading you would probably do for an arts degree fuar

 

[Fawun]

god forbid i ever do an arts degree...the amount of reading that needs to be done for an english portfolio is overwhelming, let alone all the reading you would probably do for an arts degree fuar

>reading

I still haven't read my english text hahaha fuck

 

[rumbleroar]

>reading

I still haven't read my english text hahaha fuck

haha prescribed reading is a pain, reading for pleasure is much better.
hahha which text do you still need to read?

 

[Fawun]

haha prescribed reading is a pain, reading for pleasure is much better.
hahha which text do you still need to read?

I need to read The Great Gatsby but I think i'm going to sparknote it tbh

 

[rumbleroar]

I need to read The Great Gatsby but I think i'm going to sparknote it tbh

Read it! You can finish it in 1-2 days. Just gloss over the descriptions about the houses and stuff lol

 

[Fawun]

Read it! You can finish it in 1-2 days. Just gloss over the descriptions about the houses and stuff lol

Do you honestly think I can read the whole book in 1-2 days -_-

 

[rumbleroar]

Do you honestly think I can read the whole book in 1-2 days -_-

yeah? just like skip some descriptions (that's like half a page srsly) and if you're focused enough you can I finished reading a related text for ee1 in two days (brain is still rekt from all dat globalisation theory)

 

[nexusbrah]

Re: The p00n thread

Nice! What kinds of question for example?

Trig Functions and Integration mainly

Ill be applying it to 3U maths tomorrow

 

[Fawun]

Re: The p00n thread

Trig Functions and Integration mainly

Ill be applying it to 3U maths tomorrow

Fuark nexusbrah stateranking 3u maths since 1996