Show that f(2)= cosh (2iz) satisfies the Cauchy-Riemann equations for all z. Hence express f'(z) in...

 

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Show that f(2)= cosh (2iz) satisfies the Cauchy-Riemann equations for all z. Hence express f'(z) in terms of z and y. Use the C-R equations to show that neither sinz nor cosz is an analytic function of z anywhere. Show that f(2)= cosh (2iz) satisfies the Cauchy-Riemann equations for all z. Hence express f'(z) in terms of z and y. Use the C-R equations to show that neither sinz nor cosz is an analytic function of z anywhere.