z is a complex number; z = x+iy

z-bar is a complex conjugate; z-bar = x-iy

need to show: sin(z-bar) is not differentiable everywhere

formulas (if needed):

$\displaystyle 1) sinz = (e^(iz) - e^(-iz))/2i$

2) Cauchy Riemann equations

$\displaystyle f = u(x,y) + iv(x,y)$

$\displaystyle u_x = vy; u_y = -v_x$

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problem is i dunno how to express sin(z) as real u(x,y) + iv(x,y). I'm not even sure if C-R is the best way to go about solving this problem.