o'reilly auto parts o'reilly auto parts
o oo bo po mo fo.
927 a o e oao 928.
oo1.
o(x)o(x)
2011 1 .
O (n)O (n log n) .
. ,,.. dbzhang800DJKK.
0x8007045DI/O CMD Win + R CMD .
byrut.rog byrut
2011 1 .
Related Articles
Trending Articles
$\sec x + \csc x \approx 11.025$, square $\approx 121.55$
$\sin x + \cos x \approx 1.0948$, 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.
But is that correct? Let's analyze:
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.
But the problem asks for the **maximum** — if it diverges, there is no finite maximum.
But likely we made a mistake in interpretation — perhaps the expression is bounded?