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, I have the equation; 2tanx/2 = 1, which I was supposed to solve, and I got x=180+n*pi. Is this correct?
Ooh, I think you've mixed up degrees and radians there.
Let's see what I get, anyway.
2tan(x/2) = 1
tan(x/2) = 1/2
x/2 = tan-¹ (1/2)
x/2 = 0.463... + πn
x = 0.927... + 2πn
Why did the vector cross the road?
It wanted to be normal.
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Ooh, I think you've mixed up degrees and radians there.
Let's see what I get, anyway.
2tan(x/2) = 1
tan(x/2) = 1/2
x/2 = tan-¹ (1/2)
x/2 = 0.463... + πn
x = 0.927... + 2πn
I see. I was completely wrong then. I need the answer in degrees, though, so would that be 53 degrees?
I see. I was completely wrong then. I need the answer in degrees, though, so would that be 53 degrees?
I mean 53 +2pi n
x = 53.13... + 360n (using degrees)
x = 0.927... + 2πn (using radians)
There may even be a more exact way to express tan-¹ (1/2)
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
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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 see, that's great. Thanks a lot guys
(approximately) radians approximately
I asked this on another forum though, and they said that I should add 180degrees, so I got 2 answers;
x1=53+360n
x2=(53+180)+360n
What was that all about?
That is true because
Therefore, theanswer should be
x=53.13 +180(n) degrees
where n=0,1,2,3,4....etc.
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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That is true because
Therefore, theanswer should be
x=53.13 +180(n) degrees
where n=0,1,2,3,4....etc.
So I could write the full answer as;
x=53.13 +180(n) degrees
x2=(53+180)+360(n) degrees
or is the first line sufficient?
The first answer is sufficient.
x=53.13 + 180n degrees
includes 53.13 + 360n degrees!
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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Hold on though.
Although tanθ = tan(θ+180), in this case θ = x/2.
Therefore, to get it back to x you need to think of it as tan2θ = tan(2θ+360).
So only solutions of the form 53.13 + 360n work. If you put the others back into the equation, you should get them equalling -4. Which is wrong.
Why did the vector cross the road?
It wanted to be normal.
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