
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
(1) Calculate: $$(2 \frac {1}{4})^{ \frac {1}{2}}-(-9.6)^{0}-(3 \frac {3}{8})^{- \frac {2}{3}}+(1.5)^{-2}+\log_{10}25+\log_{10}4+7^{\log_{7}2}$$  
(2) Given $\sin\alpha-2\cos\alpha=0$, find the value of $$\frac {\sin^{2}\alpha+2\cos^{2}\alpha}{\sin\alpha\cdot \cos\alpha}$$.

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