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The argument of the complex number (1 + i)/(1 - i), where i = √(-1), is

1. -π
2. -π/2
3. π/2
4. π

Correct answer: π/2

Solution

To find the argument of the complex number (1 + i)/(1 - i), we can simplify it by multiplying the numerator and denominator by the conjugate of the denominator, resulting in a complex number whose argument can be determined using the arctangent function. The final result shows that the angle corresponding to this complex number is π/2, indicating it lies on the positive imaginary axis.

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