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

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,062

### 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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: trigonometry#2

Is there a comma between y0 and z0?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,062

### Re: trigonometry#2

No

friendship is tan 90°.

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

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

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

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,062

### Re: trigonometry#2

How to get to that?

friendship is tan 90°.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

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