09'ers so you think you can do maths? (1 Viewer)

[Kurwa]

I see you guys/girls seem to complain way too much over maths, so i have decided to make a thread similar to "4unit revising game" but this one will consist of questions that will test you knowledge on "maths"...

So here it comes

question 1) Consider the quadratic equation

x^2-(2cos@)x+1 =0

which has roots alpha and beta...

find an expression for alpha and beta and hence prove that alpha^10 + beta^10 = 2cos(10@)

it will be a good practice for your trails + hsc xD

 

[Timothy.Siu]

AB=1
A+B=2cos @
A=1/B
B²-2cos@ B+1=0
B=[2cos@ +- root(4cos²@-4)]/2
=cos@+-root(i^2(1-cos^2 @))
=cos@+-i|sin @|

therefore
B=cos@+isin@
A=cos@-isin@
A^10+B^10=(cos@+isin@)^10+(cos@-isin@)^10
=cos10@+isin10@+cos10@-isin10@
=2cos 10@

 

[lyounamu]

timothy won the competition

 

[tommykins]

HAHAH FUCKIN RIPPED.asdsa

 

[MC Squidge]

OP u didnt do 4u did u

 

[Kurwa]

mc yeh i did do 4unit..

relax ladies the first one is usually the easy one =]

plus im not gaining notthin from this im doing uni maths xD

 

[Kurwa]

round 2-

Prove that (1+itan@)^n + (1-itan@)^n = 2sec^n@cosn@

Hence prove that

Re(1+itan(pi/8))^8 = 64(17-12root2)

as you can see i dont target specific chapters!

 

[Kurwa]

AB=1
A+B=2cos @
A=1/B
B²-2cos@ B+1=0
B=[2cos@ +- root(4cos²@-4)]/2
=cos@+-root(i^2(1-cos^2 @))
=cos@+-i|sin @|

therefore
B=cos@+isin@
A=cos@-isin@
A^10+B^10=(cos@+isin@)^10+(cos@-isin@)^10
=cos10@+isin10@+cos10@-isin10@
=2cos 10@

make life easier by using quadratic formula xD

its alot better than using alpah + beta = ...

 

[vds700]

round 2-

Prove that (1+itan@)^n + (1-itan@)^n = 2sec^n@cosn@

Hence prove that

Re(1+itan(pi/8))^8 = 64(17-12root2)

as you can see i dont target specific chapters!

have i stumbled across the general maths forum??

 

[tommykins]

i laugh if its his hw

 

[Timothy.Siu]

i laugh if its his hw

lol!

 

[Kurwa]

hmm something wrong timothy..

btw i finished hsc last year for your information, im at usyd atm majoring in mathematics ???

 

[MC Squidge]

u still get hmwk at uni?

 

[tommykins]

u still get hmwk at uni?

duh what else do you think we do

 

[MC Squidge]

jacc it

 

[Kurwa]

ok im going to give you guys a little hint because you are poor at maths...

de mo*** theorme !!!

 

[samthebear]

maybe it's because no one really gives a toss about this thread and only really want to post on here to ridicule you. Spend your time doing something more productive =] you deffinately deserve to do something worth your while.

 

[MC Squidge]

yea bro get a life

 

[tommykins]

ok im going to give you guys a little hint because you are poor at maths...

de mo*** theorme !!!

llol you're a sad cunt man

 

[MC Squidge]

grow up Kurwa