Question

find a complex number z such that e^z = i​

Answer 1

Answer:

We know by Euler's Formula that

reiθ=rcosθ+irsinθ

r will be equal to the magnitude of the complex number, i.e.,

Re(z)2+Im(z)2−−−−−−−−−−−−−√=5–√

So, we look for all θ such that cosθ=15√ and sinθ=25√

Step-by-step explanation: