But is that correct? Let's analyze:
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- $\sin x + \cos x \approx 1.0948$, square $\approx 1.20$
- Sum $\approx 122.75$, which is much larger than 10.
- So indeed, as $x \to 0^+$ or $x \to \frac{\pi}{2}^-$, the expression grows without bound.
- As $x \to 0^+$, $\sec x \to 1$, $\csc x \to \infty$, so $(\sec x + \csc x)^2 \sim \csc^2 x \sim \frac{1}{x^2}$
- And $\sin x + \cos x \to 1$, so its square is constant, but the first term dominates.
- Thus, $(\sec x + \csc x)^2 \to \infty$, so the entire expression tends to infinity.
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