Answer:
B) - 1.
Step-by-step explanation:
Given : \(i^{58}\).
To find : Solve it.
Solution : We have given \(i^{58}\).
We know that even power of imaginary number is -1 .
\(i^{2}\) = -1.
So, \((i^{2})^{2}= 1\).
\((i^{4})= 1\).
We can write \(i^{58}\) as \((i^{4})^{14}\).
Then \(i^{58}\)= \((i^{4})^{14}\) \(i^{2}\).
Plug \((i^{4})= 1\) and \(i^{2}\) = -1.
\(i^{58}\)= \((1^{14})\) \(i^{2}\)
\(i^{58}\) = 1 *-1.
\(i^{58}\) = -1.
Therefore, B) - 1.
