Regarding Complex Numbers: The Reciprical of i is? a. i b. -i c. does not exist d. 1+ i And Divide 3-i by 1+2i 3-i/1+2i
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Originally Posted by 14041471 Regarding Complex Numbers: The Reciprical of i is? a. i b. -i c. does not exist d. 1+ i And Divide 3-i by 1+2i 3-i/1+2i Reciprocal of i $\displaystyle i^{-1}=\frac{1}{i}\cdot\frac{i}{i}=\frac{i}{i^2}=\frac {i}{-1}=-i$ $\displaystyle \frac{3-i}{1+2i}\cdot\frac{1-2i}{1-2i}=\frac{3-i-6i+2i^2}{1-4i^2}=\frac{1-7i}{5}=\frac{1}{5}-\frac{7}{5}i$
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