Find the coordinates of foci, equation of directrices of the ellipse `x^2/9+y^2/4=1`

Explanation

To solve the problem of finding the coordinates of the foci and the equation of the directrices of the ellipse given by the equation \( \frac{x^2}{9} + \frac{y^2}{4} = 1 \), we will follow these steps:

### Step 1: Identify the values of \( a^2 \) and \( b^2 \)
The given equation of the ellipse is in the standard form:
\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \]
Here, we can see that:
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