Find the sum of the solutions to
\[\frac{1}{\sin x} + \frac{1}{\cos x} = 2 \sqrt{2}\]in the interval $0 \le x \le 2 \pi.$
Question:
Find the sum of the solutions to
\[\frac{1}{\sin x} + \frac{1}{\cos x} = 2 \sqrt{2}\]in the interval $0 \le x \le 2 \pi.$
Answer:
Let's think step by step.

user
\frac{11 \pi}{4}
Find the sum of the solutions to
\[\frac{1}{\sin x} + \frac{1}{\cos x} = 2 \sqrt{2}\]in the interval $0 \le x \le 2 \pi.$
train