How do I properly code a Taylor Series for tan(x)?

In terms of tan(x) with a=0, how would I code the approximation of a Taylor Series from n = 1:4? I get it on paper, but I can't seem to wrap my head around the Matlab code.

[James Tursa]

What have you written on paper? Can you post the image? What code have you written so far?

[George Caspelli]

I deleted my Matlab code, but I yeah I can send a picture of my work on paper. I forgot to include that I want to find the approximation at x = pi/4.

Here's a general idea of the direction I went with my Matlab code. I was planning to create a variable n and have the multiple derivatives calculated at diff(f,n), but I wasn't able to figure that out.

syms x
f = tan(x)
diff(f)
vpa(subs(f,x,pi/4))

Hope this helps!

[John D'Errico]

If you say you deleted your code, then you may have as easily not written any code at all. How should we know that you are telling the truth?

Answer 1

[Mouhamed Niasse]

try this

order=4; value=pi/4;
syms T1(x)
T1(x) = taylor(tan(x), x, 'Order', order)
vpa(T1(value))