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Find the multiplicative inverse of 1+i/1-i

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First, simplify the equation by multiplying the top and bottom by 1 + i 

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

The multiplicative inverse of i is the number that gives 1 when multiplied by it. 

$$i×(−i)=1$$

Therefore, the multiplicative inverse of i is  $ -i $

Posted by

Saniya Khatri

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