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#1 2014-03-29 00:06:39

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
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Another Trig Problem

If sin[sup]2[/sup] θ + sin[sup]4[/sup] θ = 1, then what is the value of tan[sup]4[/sup] θ - tan [sup]2[/sup] θ ?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#2 2014-03-29 03:19:57

gAr
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Registered: 2011-01-09
Posts: 3,482

Re: Another Trig Problem


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#3 2014-03-29 04:16:56

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
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Re: Another Trig Problem

Hi;

I am still not getting it. Please tell me the full solution.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#4 2014-03-29 04:20:59

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

Re: Another Trig Problem


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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#5 2014-03-29 04:24:48

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Another Trig Problem

The positive root to that is the golden ratio.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#6 2014-03-29 04:25:57

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

Re: Another Trig Problem

Check the M code I gave you what do you observe?


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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#7 2014-03-29 04:29:08

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Another Trig Problem

You'll have to wait before I can run that.

How about gAr's method?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#8 2014-03-29 04:33:20

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

Re: Another Trig Problem

Hi;

I think I understand that a bit.

I think that is what he wants. You should be able to finish up now. I would ask him about the division by cos(t)^4. We need to prove it cannot be 0.

Also, you should try my way too.


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 2014-03-29 05:24:56

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Another Trig Problem

If cos^4 t is zero that also fixes sine and then the equation doesn't hold.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#10 2014-03-29 05:28:27

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Another Trig Problem

How was the last line done?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#11 2014-03-29 05:28:31

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

Re: Another Trig Problem

Wunderbar!


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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#12 2014-03-29 05:31:34

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Another Trig Problem

bobbym wrote:

It looks to me like

Which is reassuring, but not so helpful.  smile

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#13 2014-03-29 05:37:35

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Another Trig Problem

bob bundy wrote:
bobbym wrote:

It looks to me like

Which is reassuring, but not so helpful.  smile

Bob

Hi;

Can you solve this in some other way?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#14 2014-03-29 05:39:18

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

Re: Another Trig Problem

Yikes! Not helpful at all. I do not know how I worked that out. In chess it is called a hallucination. When you envision a piece is still on a square after it is not. I think I still saw the 1 from the line before.


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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#15 2014-03-29 05:39:53

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Another Trig Problem

Start with the tan expression; change to sin/cos; use the above to remove the sin^4 term;  the rest then simplifies.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#16 2014-03-29 05:50:04

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Another Trig Problem

Hi;

It is not working. How does the simplification work?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

#17 2014-03-29 05:58:31

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Another Trig Problem

Hi,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#18 2014-03-29 06:00:42

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Another Trig Problem

You can finish it from here.  smile

Bob

ps.  got to go and make lights for a dance show now.  bfn.


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#19 2014-03-29 13:06:05

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Another Trig Problem

Yippee! Thank You! big_smile

What is bfn?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

#20 2014-03-29 19:37:33

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Another Trig Problem

bye for now


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#21 2014-03-29 19:55:44

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Another Trig Problem

Are you a performer on the dance show?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

#22 2014-03-30 08:28:23

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Another Trig Problem

Are you a performer on the dance show?

roflol

No.  I lead a technical crew of students who do the lighting, music and anything else like that.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

Offline

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