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## Homework Statement

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

## Homework Equations

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?

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