
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that \(\frac{1+\sin x}{\cos x}=\frac{22}{7}\) and \(\frac{1+\cos x}{\sin x}=\frac{m}{n}\), where \(\frac{m}{n}\) is in simplest form, find \(m+n\).

Present the answer in LaTex format: \boxed{Your answer}
user