Consider a function of z = 1 + j1, w = e z (a) Find (i) log(w),

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Consider a function of z = 1 + j1, w = ez

(a) Find (i) log(w), (ii) Re(w), (iii) Im(w)

(b) What is w + w*, where w* is the complex conjugate of w?

(c) Determine ∣w∣, ∠w, and ∣log(w)∣2?

(d) Express cos(1) in terms of w using Euler’s identity.

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