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Using the Pythagorean identity $ \sin^2 x + \cos^2 x = 1 $, this becomes:
f(x) = 1 + \frac{1}{\sin^2 x} + \frac{1}{\cos^2 x}
Let $ a = \sin^2 x $, $ b = \cos^2 x $, so $ a + b = 1 $, and $ a, b > 0 $ in $ (0, \frac{\pi}{2}) $. Then:

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