Expand sin x about the point x = pi/4. Hint: Represent the function as
sin x = cos (y + pi/4) and assume y to be small
Taylor Series Expansion
f(x)= f(a) + f'(a) (x-a)+ (1/2!) f''(a) (x-a)^2+ (1/3!) f"'(a) (x-a)^3+.....+ 1/n! f(n)(a) (x-a)^n
The Attempt at a Solution
I know how to do the Taylor expansion... but I believe he wants us to use the hint in order to write it as an infinite summation with a sigma notation.. like how we can write e^x equal to an infinite series in sigma notation. Does anybody have any ideas?