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

Explanation

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

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

...