Prove that: `tan^2theta=tan^2alpha ,theta=npi+-alpha,n in Z`

Explanation

To prove that \( \tan^2 \theta = \tan^2 \alpha \) implies \( \theta = n\pi \pm \alpha \) for \( n \in \mathbb{Z} \), we can follow these steps:

### Step 1: Start with the given equation
We begin with the equation:
\[ \tan^2 \theta = \tan^2 \alpha \]

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