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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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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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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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Last edited by irspow (2021-03-23 03:45:52)
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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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I will chalk up the typo to old age, fat fingers, and smartphone
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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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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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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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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.
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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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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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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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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.
Online
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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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.
Online
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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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.
Online
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.
Online
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.
Online
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.
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