Math Is Fun Forum
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#1 2014-03-29 00:06:39
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
- Member
- 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
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
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
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: 10,643
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 
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#10 2014-03-29 05:28:27
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: 10,643
Re: Another Trig Problem
It looks to me like
Which is reassuring, but not so helpful.
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
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#13 2014-03-29 05:37:35
Re: Another Trig Problem
bobbym wrote:It looks to me like
Which is reassuring, but not so helpful.
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.
Offline
#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.
Offline
#15 2014-03-29 05:39:53
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,643
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
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#16 2014-03-29 05:50:04
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."
Offline
#18 2014-03-29 06:00:42
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,643
Re: Another Trig Problem
You can finish it from here.
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
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#19 2014-03-29 13:06:05
Re: Another Trig Problem
Yippee! Thank You! 
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: 10,643
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
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#21 2014-03-29 19:55:44
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: 10,643
Re: Another Trig Problem
Are you a performer on the dance show?
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
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