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Popular >

simplify (-i)/(1-i)

Solution

simplify

\frac{- i}{1 - i}

Solution

\frac{1}{2} - \frac{1}{2} i

Solution steps

\frac{- i}{1 - i}

Multiply by the conjugate

\frac{1 + i}{1 + i}

= \frac{- i ( 1 + i )}{( 1 - i ) ( 1 + i )}

Simplify

\frac{- i ( 1 + i )}{( 1 - i ) ( 1 + i )} : \frac{- i + 1}{2}

= \frac{- i + 1}{2}

Rewrite in standard complex form:

\frac{1}{2} - \frac{1}{2} i

= \frac{1}{2} - \frac{1}{2} i

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Frequently Asked Questions (FAQ)

What is (-i)/(1-i) ?
The solution to (-i)/(1-i) is 1/2-1/2 i