# Math Help - [SOLVED] Complex function proof

1. ## [SOLVED] Complex function proof

Show that neither $sin(\bar{z})$ nor $cos(\bar{z})$ is an analytic function of z anywhere.

Is it sufficient to say that neither function is analytic because neither can be put into the form $f(z)=u(x,y)+iv(x,y)$ and therefore they can't possibly satisfy the Cauchy-Riemann equations anywhere?

2. $\sin\left(\overline{z}\right)=\\sin(x)\cosh(-y)+i\cos(x)\sinh(-y)$

3. I've not seen that identiy for sin(z) before, but I ended up deriving it in the meantime. Is there a list of similar identities somewhere?

4. Originally Posted by davesface
I've not seen that identiy for sin(z) before. Is there a list of similar identities somewhere?
Any cpmplex variables textbook should have such a list.