Example 1.1.5 (c): Properties of i

Use the definition of i to simplify 1/i
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Pretty much the only property of i that we know is that i2=-1. Thus, we try to multiply 1/i by i/i:

1/i * i/i = i/i2 = i/(-1) = -i

so that 1/i = -i.

Interactive Complex Analysis, ver. 1.0.0
(c) 2006-2007, Bert G. Wachsmuth
Page last modified: May 29, 2007