
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 a point $P(\cos \alpha,\sin \alpha)$ on the line $y=2x$, then $\dfrac {\cos 2\alpha}{(\sin \alpha-\cos \alpha)^{2}}=$ \_\_\_\_\_\_.

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