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#1 2014-07-21 04:09:31

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,023

trigonometry#2

The number of all possible values of

, where
, for which the system of equations



have a solution


with 
, is




P.S. please tell me how to solve this.


friendship is tan 90°.

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#2 2014-07-24 04:22:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: trigonometry#2

Is there a comma between y0 and z0?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2014-07-24 04:29:55

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,023

Re: trigonometry#2

No


friendship is tan 90°.

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#4 2014-07-24 05:08:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: trigonometry#2

bobbym wrote:

Is there a comma between y0 and z0?

It makes no difference.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#5 2014-07-24 05:47:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: trigonometry#2

Hi;

I can only come up with these three but can not prove they are the only ones.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#6 2014-07-24 06:36:37

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: trigonometry#2

If there are x0, y0 and z0 for those, then those are the only ones, because sin(3 theta)=cos(3 theta)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#7 2014-07-25 15:57:44

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,023

Re: trigonometry#2

How to get to that?


friendship is tan 90°.

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#8 2014-07-25 19:22:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,247

Re: trigonometry#2

Hi;

I am not sure how to get that yet but there are some substitutions to try.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#9 2014-07-25 23:47:47

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: trigonometry#2

Multiply the second equation by yz then subtract itbfrom the third equation.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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