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Error in FullSimplify


Hello

I have experienced some strange error in the FullSimplify-function in 
Mathematica 7.

Input:
(-E^((a+b I)x)+E^((a-b I)x)+E^((-a+b I)x)-E^((-a-b I)x))/.a->3 /.b->4 // 
FullSimplify
(-E^((a+b I)x)+E^((a-b I)x)+E^((-a+b I)x)-E^((-a-b I)x))/.a->3. /.b->4. 
// FullSimplify

Output:
-4 I Sin[4 x] Sinh[3 x]
-2 I Sin[4. x] Sinh[3. x]

And the later result is wrong.

What happens here, how can this be explained?

CU

Philipp



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