If $i{z^4} + 1 = 0$, then $z$ can be take the value

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

i{z^4} + 1 = 0

, then

z

can be take the value

View answer and explanation

Correct option: B

\cos \frac{\pi }{8} + i\sin \frac{\pi }{8}

Option B (

\cos \frac{\pi }{8} + i\sin \frac{\pi }{8}

) is correct because it is derived from solving the equation

i{z^4} + 1 = 0

using De-Moivre’s theorem.

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