
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 $\cos \left(\frac{\pi }{4}+x\right)=\frac{3}{5}$, $\frac{17}{12}\pi < x < \frac{7}{4}\pi $, the value of $\frac{\sin 2x+2\sin^2 x}{1-\tan x}$ is __________.

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