
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 $\sin \frac {x}{2}-2\cos \frac {x}{2}=0$,  
(I) find the value of $\tan x$;  
(II) find the value of $\frac {\cos 2x}{ \sqrt {2}\cos ( \frac {\pi}{4}+x)\cdot \sin x}$.

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