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

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,028

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: 90,444

Re: trigonometry#2

Is there a comma between y0 and z0?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,028

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: 15,657

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: 90,444

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

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: 1,028

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: 90,444

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

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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