Question

Find the general value of log i’​

Answer 1

Answer:

find this you need Euler’s Formula:

eiθ=cos(θ)+isin(θ)

To make the right side equal to −i , you need cos(θ)=0 and sin(θ)=−1 . The closest solution to 0 is θ=−π2 , and the real solutions will repeat every 2π in either direction. So the powers of e you need are i(−π2+2πn) .

Step-by-step explanation:

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