You can use in-built MATLAB function,
taylor(f,var)
to generate Taylor series. For your case, the code will look like
syms x
k=1; %%Add your own value pf 'k'
x1=1; %%Add your own value of 'x1'
t=1; %%Add your own value of 't'
f=sin(k*(x-x1)-4*(k^3)*t);
taylor(f,x)
This code will give you Taylor's Series for your function. Hope that helps.
