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micawake micawake
wrote...
Posts: 18
Rep: 1 0
10 years ago
How do I output my answer as a fraction in Mathematica.

For example, what is the fraction form of 0.76176?

I'm actually trying to figure out what Sine[Sqrt[3]/2] is as a fraction.
No, I'm not interested in the ArcSine. I want Sine[(sqrt(3))/2] = ? as a fraction.
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wrote...
10 years ago
Hmmm get an expensive calculator then figure out the decimal then hit conver from decimal to fraction
wrote...
10 years ago
If you know the unit circle it is a fraction which is pi/3 or 4pi/3
wrote...
10 years ago
sqrt(3)/2 IS a fraction....

Now, are you sure you want sin(sqrt(3)/2)?
If so, you use radians, rather than degrees. and you get something like 0.69441

or do you want to find x in sin(x) = sqrt(3)/2, in which case the answer is pi/3
wrote...
10 years ago
There is "exactly precisely correct" and then there is "pretty close."

If you are looking for a fraction that is pretty close then Rationalize might be interesting.

Rationalize[Sin[Sqrt[3]/2],10^-1] gives 2/3
Rationalize[Sin[Sqrt[3]/2],10^-4] gives 163/214
Rationalize[Sin[Sqrt[3]/2],10^-6] gives 502/659

And make sure you use Sin[] and not Sine[]. Mathematica has no tolerance for misspellings.
wrote...
10 years ago
get a graphing calculater and fill it in you should get your answer Slight Smile
wrote...
10 years ago
yeah you really need one of those graphing calculators...i've never done something like that, nor seen anyone do it by hand.
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