sympy__sympy-11870

Based on the GitHub issue and hints provided, I need to create a patch that adds _eval_rewrite_as_sinc support to the exp function. Let me analyze the problem:

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Based on the GitHub issue and hints provided, I need to create a patch that adds `_eval_rewrite_as_sinc` support to the exp function. Let me analyze the problem:

1. The issue is that `f.rewrite(sinc)` doesn't work because sinc rewrite hasn't been implemented
2. The pattern `1/2 * (-I*exp(I*k) + I*exp(-I*k))` should simplify to `sin(k)`
3. The pattern `sin(k)/k` should be rewritable as `sinc(k)`

From my knowledge of sympy's structure:
- `sinc` is defined in `sympy/functions/special/error_functions.py`
- Rewrite methods follow the pattern `_eval_rewrite_as_<function>`
- The exp function needs 

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