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#401 2021-03-19 14:29:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

Excellent!

T#220.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#402 2021-03-20 05:20:06

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#403 2021-03-20 15:30:20

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

Neat work!

T#221.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#404 2021-03-21 04:06:09

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#405 2021-03-21 15:27:09

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

Excellent!

T#222.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#406 2021-03-22 03:52:10

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry

Last edited by irspow (2021-03-23 03:45:52)


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#407 2021-03-22 14:52:14

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

A minor error in your solution!

T#223.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#408 2021-03-23 04:19:15

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry

I will chalk up the typo to old age, fat fingers, and smartphone big_smile


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#409 2021-03-23 14:34:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

Neat work!

T#224.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#410 2021-03-24 03:27:48

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#411 2021-03-24 15:45:09

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

Excellent!

T#225.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#412 2021-03-25 04:20:06

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#413 2021-03-25 16:01:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

I think so!

T#226.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#414 2021-03-26 04:16:41

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry

In reference to 225

In my working out of x and y (x=4/5 and y=-3/5) which established an angle of -36.87 (or 323.13). These values for x and y and the angle satisfied both equations. ie
sin(-36.87)+2cos(-36.87)=1 and then 2sin(-36.87)-cos(-36.87)= -2 (and of course using 323.13 is the same)

I followed your working out and didn’t see an immediate error. The only thing that I can think of is that maybe the assumption that the root in last step is a positive 2 may be the issue. What I mean is that perhaps there was a positive and negative root and that the positive root was extraneous for reasons not immediately obvious through purely trigonomic substitutions. I am not sure, but my alternate solution still satisfied the first equation. To flip the sign to positive from what I found there has to be an angle in the first or third quadrant that would produce a positive 2. I had no luck finding that alternative angle that still satisfied the first equation.


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#415 2021-03-26 04:44:27

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#416 2021-03-26 15:21:09

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

Neat work!

T#227.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#417 2021-03-27 02:51:10

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#418 2021-03-27 15:59:15

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

Neat work!

T#228.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#419 2021-03-28 05:29:58

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#420 2021-03-28 15:14:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

Excellent!

T#229.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#421 2021-03-29 05:28:23

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Trigonometry


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#422 2021-03-31 14:45:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

T#230.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#423 2021-04-02 17:31:14

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

T#231.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#424 2021-05-01 21:53:30

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

T#232.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#425 2021-05-09 22:07:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,463

Re: Trigonometry

Hi,

T#233.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

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