Find values of x on the interval `[0,pi]` for which `cos x le sin 2x`.

Explanation

To solve the inequality \( \cos x \leq \sin 2x \) on the interval \( [0, \pi] \), we will follow these steps:

### Step 1: Rewrite the inequality
We start with the inequality:
\[ \cos x \leq \sin 2x \]
Using the double angle formula for sine, we know that:
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