If `1+sin^(2)theta = 3sinthetacostheta`, then prove that `tantheta=1` or `1/2`.

Explanation

To solve the equation \(1 + \sin^2 \theta = 3 \sin \theta \cos \theta\) and prove that \(\tan \theta = 1\) or \(\tan \theta = \frac{1}{2}\), we can follow these steps:

### Step 1: Rewrite the equation
We start with the given equation:
\[ 1 + \sin^2 \theta = 3 \sin \theta \cos \theta \]

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