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1 I. Steps on how to simplify 1/i to equal iThis tutorial covers how to simplify the complex number 1/i by using a technique similar to multiplying by the comple Video Duration 1 minViews 572KAuthor Cowan Academy.

Explanation We can compute this by multiplying both numerator and denominator by the conjugate 1 +i of the denominator ( 1 + i 1 − i) ⋅ ( 1 +i 1 +i) = 1 +2i + i2 1 − i2 We know that i2 = −1 so 1 +2i +i2 1 − i2 = 1 + 2i − 1 1 − ( − 1) = 2i 2 = i Answer link.

algebra precalculus Why is $1/i$ equal to $i

Answer (1 of 12) 1^i = e^(i Log 1) = e^(i(ln1 + i*arg 1)) = e^(arg 1) (i*i = 1 ln 1 = 0 were used implicitly) These computations use the definition of the complex exponential and the complex logarithm which you can find on Wikipedia.

How to simplify 1/i (Complex Numbers) YouTube

1 = e i 0 i = e i π 2 Now we perform the division making use of the exponent rules 1 i = e i 0 e i π 2 = e − i π 2 If you consult the unit circle (since the magnitude is 1) you will find that a phase of − π 2 corresponds to − i Alternatively you can apply Euler&#39s formula e − i π 2 = cos ⁡ ( − π 2) + i sin.

What is the value of [math]1^i[/math]? Quora

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