Each of the following sets spans a subspace of the complex vector space of all functions from C to C. (Here the scalar field is C, not R.) In each case find a basis for the subspace and prove it is a basis; state the dimension.
exp iz; cos z;sin z
exp iz; cosh z;sinh z
i posted a similar question before, but this is in the Complex field and not real. someone please explain how to prove this?