If `2sin^(2)theta-cos^(2)theta=2`, then find the value of `theta`.

Explanation

To solve the equation \(2\sin^2\theta - \cos^2\theta = 2\), we can follow these steps:

### Step 1: Rewrite the equation using the Pythagorean identity
We know that \(\sin^2\theta + \cos^2\theta = 1\). Therefore, we can express \(\cos^2\theta\) in terms of \(\sin^2\theta\):
\[ \cos^2\theta = 1 - \sin^2\theta \]
Substituting this into the original equation gives us:
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