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#1 2007-11-19 09:12:59

tony123
Member
Registered: 2007-08-03
Posts: 229

simplify

simplify

Last edited by tony123 (2007-11-19 09:13:42)

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#2 2007-11-19 12:10:07

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: simplify

uh.. what kind of simplification do we want? One way is summation

∑ tan(2^n)/cos(2^n+1) from n = 0 to 7.


A logarithm is just a misspelled algorithm.

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#3 2007-11-19 13:26:21

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: simplify

I think when he said "simplify", he meant "evaluate".


Why did the vector cross the road?
It wanted to be normal.

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#4 2007-11-19 13:45:53

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: simplify

What? I'd rather stick my head in a blender!


A logarithm is just a misspelled algorithm.

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#5 2007-11-19 15:11:43

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: simplify

I would love to evaluate it – as I would similar problems posed by Tony – they stimulate the creativity cells in my brain. Unfortunately, I do not always have time for these problems. sad

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#6 2007-11-20 10:41:41

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: simplify

Probably not at all helpful, but by messing around with various identities I managed to get that


Why did the vector cross the road?
It wanted to be normal.

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#7 2007-11-20 17:11:28

George,Y
Member
Registered: 2006-03-12
Posts: 1,379

Re: simplify


X'(y-Xβ)=0

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#8 2007-11-21 01:43:01

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: simplify

Wait, wait …

So

Hence

Are we getting closer? roll

Last edited by JaneFairfax (2007-11-21 02:08:02)

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#9 2007-12-19 13:53:38

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: simplify

GRRR!!! swear

So the answer is tan(256°) − tan(1°).

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#10 2007-12-20 02:31:55

Krizalid
Member
Registered: 2007-03-09
Posts: 51

Re: simplify

You'll get quickly the desired.

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