Solve: `2sin^2x+sin^2 2x=2`

Explanation

To solve the equation \(2\sin^2 x + \sin^2 2x = 2\), we will follow these steps:

### Step 1: Rewrite \(\sin^2 2x\)
We know that \(\sin 2x = 2 \sin x \cos x\). Therefore, we can express \(\sin^2 2x\) as:
\[ \sin^2 2x = (2 \sin x \cos x)^2 = 4 \sin^2 x \cos^2 x \]

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