
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 vectors $\overrightarrow{a}=(2\cos θ,\sin θ)$, $\overrightarrow{b}=(1,2)$.
(1) If $\overrightarrow{a}$ is parallel to $\overrightarrow{b}$, find the value of $\frac {3\sin θ-2\cos θ}{2\sin θ +\cos θ }$;
(2) If $θ=45^{\circ}$, and $2 \overrightarrow{a}-t \overrightarrow{b}$ is perpendicular to $\sqrt {2} \overrightarrow{a}+ \overrightarrow{b}$, find the value of the real number $t$.

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