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simple trigonometry problem

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bloody-orc

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cos(2*x)+cos(4*x) = cos(x);

How to solve this...
It's too late and i just cant figure it out...
i know x should = 1/2 Pi. but cant figure out how the hell to get that ;)
 
Since the identity is not generally true, but only true for a particular value it reduces upon substitution to:

+1 + (-1) = 0

There is no general method that I know of for solving this kind of problem since it involves transcendental functions.
 
you and your American math knowledge ;)
it's is very much possible to do it (now I see, what my classmate meant, when she went to America as an exchange student. here she couldn't understand anything, but there oh... she was a genius in class (and school). ;)

anyway this is one way of solving this: **broken link removed**

or this one: **broken link removed**
 
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Truly, Estonians like Elbonians have dizzying intellects!
;)
 
hi,

I know papabravo dosn't need me to back him up, BUT the solution to your
problem did come from a States side web source!

Give credit, where credit is due.

Regards.
 
the solutions were uploaded by me... ;):D freewebtown just gives me space to post my intelligence ;) And my remarks were not to offend anyone. especially Americans. You have much better university system than we do (yours just costs 450 000$ more). All they teach us is theory, but there it's all the other way around. more practical things and less "jibba-jabba"
 
I was by no means offended, but I also don't feel stronly motivated to check your results. I'll be happy to stipulate that they are completely beyond my graduate level mathematics background. Like I said, you have a truly dizzying intellect. My head is still spinning. I am reminded of a particularly pedantic problem on my fresshman calculus exam.
Code:
Take the derivative of
 
y = tan(x) ^ tan(x) ;
In an engineering career spanning 40 years I've never found a use for that one.
 
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