
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 $\tan\alpha = 2$, find the value of the following expressions:
(Ⅰ) $\frac {4\sin\alpha-2\cos\alpha}{5\cos\alpha +3\sin\alpha}$
(Ⅱ) $\frac {1}{4}\sin^{2}\alpha+ \frac {1}{3}\sin\alpha\cos\alpha+ \frac {1}{2}\cos^{2}\alpha+1$

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