If `z=(1+2i)/(1-(1-i)^2),` then `arg(z)` equals a. `0` b. `pi/2` c. `pi` d. non of these

Explanation

To solve the problem of finding the argument of the complex number \( z = \frac{1 + 2i}{1 - (1 - i)^2} \), we will follow these steps:

### Step 1: Simplify the denominator
First, we need to simplify the denominator \( 1 - (1 - i)^2 \).

1. Calculate \( (1 - i)^2 \):
\[
(1 - i)^2 = 1^2 - 2(1)(i) + i^2 = 1 - 2i - 1 = -2i
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