1. Given that the real number $x$ satisfies $20 \sin x=22 \cos x$, then the greatest integer not exceeding the real number $\left(\frac{1}{\sin x \cos x}-1\right)^{7}$ is $\qquad$ .
$$
\tan x=\frac{11}{10} \Rightarrow \sin 2 x=\frac{2 \tan x}{1+\tan ^{2} x}=\frac{\frac{11}{5}}{1+\frac{121}{100}}=\frac{220}{221} \text {, }
$$

Then $\left(\frac{1}{\sin x \cos x}-1\right)^{7}=\left(\frac{2}{\sin 2 x}-1\right)^{7}=\left(1+\frac{1}{110}\right)^{7} \in(1,2)$, so the answer is 1.