Combination Formula Calculator How Do Calculators Work Out Trigonomic Values?
How do Calculators work out Trigonomic Values? - combination formula calculator
In my Math class, we asked the teachers, such as calculators can all values of sine, cosine and tan run. His first reaction was that the answers must be saved, but the discussion we decided it would be impossible, my computer has a value of sin, when the angle more than 98 decimal places, and he can be given all possible combinations of 98 digits a hell of a calculator.
How does it work? Is there a formula? When I tried to use the NAS with an angle of about 140 decimal places (the maximum I can go), made a mistake, "2" appears. Although not sure what error 2 means that the same error message I get for one number divided by 0, and the root of a negative number
This led me to believe that the value of this sin, must also indefinite, ie, does the computer no definition stored.
However, I have the same error when I tried 8 x this problem.
Like their magic trigonometric calculator?
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3 comments:
The only operation that can do a computer or another system, the sum (difference) (multliplication and division are also a kind of addendum)
So all functions on a calculator that operation, the best tool for the functions that are to the series should be simplified, "Taylor said we can use the functions of the number of polynomials in the form of power-Express
f (x) = sigma (n from 0 to infinity) (a (n) (X-Xo) ^ n)
Xo = focal-series
for each function (e) is different and special;
According to Taylor, MacLaurin said that if we consider the place of the 0 in the series
f (x) = sigma (n from 0 to infinity) (a (n) (X) ^ n)
We now have a polynomial expression sin (x)
but the exact value can be accessed with a value of x, if the polynomial is to infinity and infinity is not defined;
Thus, only certain provisions of the calculators calculate MacLaurin, say, 20 or 30, or if you meet;
more in terms of polynomial of the most accurate answer
Some Maclaurin series:
sin (x) = xx ^ 3 / 3! + X ^ 5 / 5! -... + ...
1 / (1-x) = 1 + x + x ^ 2 + x ^ 3
+ ...
cos (x) = 1 - x ^ 2 / 2! + X ^ 4 / 4! -... + ...
zanti3 is correct. For the series of inverse trigonometric functions can be found here:
http://en.wikipedia.org/wiki/Inverse_tri ...
Go where it says "infinite series"
And trigonometric functions:
http://en.wikipedia.org/wiki/Trigonometr ...
Go where there are "standard definitions"
I'm pretty sure that the use of computers in the Taylor series, which is essentially a rapid convergence of polynomial functions. Do a Google search and you will find the Taylor series to find application to any of the functions trignometric.
Investigation is a little more tayor the series for sin (x):
sin (x) = x - x ^ 3 / 3! + X ^ 5 / 5! - X ^ 7 / 7! + ...
As you can see the individual terms should be small enough to rapidly with increasing factors.
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