If `z=re^i theta` then `|e^(iz)|` is equal to: – InterviewSolution

1.	If `z=re^i theta` then `\|e^(iz)\|` is equal to:
Answer» `z=re^(itheta),iz=ire^(itheta)` `=l8r{costheta+isintheta}` `=r(sintheta+icostheta)` `e^(iz)=e^r(icostheta-sintheta)` `=e^(-rsintheta)e^(ircostheta)` `\|e^(iz) \| =\|e^(-rsinthetae^(ircostheta)` `=e^(-rsontheta)\|costheta\|isintheta\|^(rcostheta)` `=e^(-rsintheta)(1)^rcostheta` `=e^(-rsintheta)`.

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