## 8.4. Taylor Series

### Proposition 8.4.13: Taylor Series for the Sine Function

The proof is analogous to the proof for the cos-function. Please look up that proof and adjust it to this situation.

### Fun Facts:

*sin(0) = 0**sin*is an odd function, i.e.*sin(-x) = -sin(x)**sin(x - /2) = -cos(x)**sin(x) = cos(x)*

The fun facts are all easy and are left as exercises. For the third fact you
might start with *f(x)=cos(x)* and develop that in a series around
*c = /2*.