Solve `2 cos^2 x-3 sin x=0`

Explanation

To solve the equation \(2 \cos^2 x - 3 \sin x = 0\), we can follow these steps:

### Step 1: Rewrite \(\cos^2 x\) in terms of \(\sin x\)
Using the Pythagorean identity, we know that:
\[ \cos^2 x = 1 - \sin^2 x \]
Substituting this into the equation gives:
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