
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 $\theta$ is an angle in the second quadrant, and $\tan 2\theta = -2\sqrt{2}$.
(1) Find the value of $\tan \theta$.
(2) Calculate the value of $\frac {2\cos^{2} \frac {\theta}{2}-\sin\theta-\tan \frac {5\pi}{4}}{\sqrt {2}\sin(\theta + \frac {\pi}{4})}$.

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