Find the range of `f(x)=cos^2x+sec^2x`.

Explanation

To find the range of the function \( f(x) = \cos^2 x + \sec^2 x \), we can follow these steps:

### Step 1: Rewrite the function
The function can be expressed as:
\[ f(x) = \cos^2 x + \frac{1}{\cos^2 x} \]
This is because \( \sec^2 x = \frac{1}{\cos^2 x} \).
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