Evaluate the 1/ i58

Question

Evaluate the \(\dfrac{ 1}{i^{58}}\)

Asked by Aaryan | 1 year ago | 106

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Class 11 Maths Complex Numbers and Quadratic Equations Add Answer

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Accepted Answer

Let us simplify we get,

= \( \dfrac{1}{ i^{56+2}}\)

= \( \dfrac{1}{ i^{56}}\) × i²

=\(\dfrac{ 1}{ (i^4)^{14}}\) × i²

= \( \dfrac{1}{-1}\) [since, i² = -1]

= -1

Answered by Aaryan | 1 year ago