Question

How do you calculate (1+i)/(1−i)?

Answer 1

i

Explanation:

1. Multiply the Numerator and the Denominator by the Complex Conjugate of the Denominator:

`(1+i)/(1-i)*(1+i)/(1+i)=(1+2i+i^(2))/(1-i^(2))`

Remember that i² = -1:

`(1+2i+i^(2))/(1-i^(2))=(2i)/(2)`

2. Simplify