
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 $\cos\left(\frac {\pi}{4} + \theta\right) = -\frac {3}{5}$, and $\frac {11\pi}{12} < \theta < \frac {5\pi}{4}$, find the value of $\frac {\sin{2\theta} + 2\sin^{2}{\theta}}{1 - \tan{\theta}}$.

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