Asked by Alicia
More About Complex Numbers
Find the reciprocal.
-1-i
2i
Find the reciprocal.
-1-i
2i
Answers
Answered by
Steve
recall that since i^2 = -1, 1/i = -i
1/(-1-i) * (-1+i)/(-1+i) = (-1+i)/2
1/(2i) = (1/2)(1/i) = (1/2)(-i) = -1/2 i
1/(-1-i) * (-1+i)/(-1+i) = (-1+i)/2
1/(2i) = (1/2)(1/i) = (1/2)(-i) = -1/2 i
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