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

Explanation

`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^(-rsintheta*e*^(ircostheta)`

`=e^(-rsontheta)*|costheta|isintheta|^(rcostheta)`

`=e^(-rsintheta)*(1)^rcostheta`

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