How do I write a function to find the taylor series expansion of sin(x) to the 9th term?

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Japheth Gielen
Japheth Gielen 2016-10-9
评论： Japheth Gielen 2016-10-9
I am asked to create a function file to evaluate the value of sin(x) accurate to 9 Taylor Series terms. I know there is a way to write it all out using n and whatnot, but is there a simple way using the built in function "taylor()"? This is what I have, but I am not sure what is wrong.
function y = taylor9(x)
y = taylor(sin(x),x,'Order',9)
end
The error I get says "Undefined function 'taylor' for input arguments of type 'double'"

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Walter Roberson
Walter Roberson 2016-10-9
syms x
y = taylor(sin(x), x, 'Order', 9);
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Walter Roberson
Walter Roberson 2016-10-9
https://www.mathworks.com/help/symbolic/syms.html
taylor() is a function that is part of the Symbolic Toolbox, and only works with symbolic expressions and symbolic functions. It cannot be used with function handles or numeric arrays. It does calculus on the symbolic expression in order to create the taylor approximation -- it takes derivatives, which requires calculus.

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