Expz eyewear
WebExplain why (a) exp ( ) = expz holds for all z. (b) exp; This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. … Web5. expz = 1 + i is the same as ex cosy = 1 and ex siny = 1, which is the same as ex = √ 2 and tany = 1. Thus x = log √ 2 and y = π/4 + 2πk with k ∈ Z. Hence expz = 1+i if and only …
Expz eyewear
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Webexp ( z 2) = i z 2 = ln ( i) = i π 2 + 2 i k π = i π 2 ( 4 k + 1) with k ∈ Z. This k comes from the fact that the exponential fonction is 2 i π periodic on the complex numbers. Depending on the sign of k you then need to solve w 2 = ± i which has 4 solutions. w = ± ( 1 + i) / 2 for w 2 = i and k ≥ 0. w = ± ( 1 − i) / 2 for w 2 ...
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