Prove the identity coshz - sinhz = 1, for complex z. 3. Consider the function f(2)=...

 

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Prove the identity coshz - sinhz = 1, for complex z. 3. Consider the function f(2)= log(22-1) = log(2-1) + log(2+1). Explain why this function is discontinuous at z=0 with either of the two 'standard' definitions for the principle value of the logarithm: 0 0 <2m or <0 Prove the identity coshz - sinhz = 1, for complex z. 3. Consider the function f(2)= log(22-1) = log(2-1) + log(2+1). Explain why this function is discontinuous at z=0 with either of the two 'standard' definitions for the principle value of the logarithm: 0 0 <2m or <0