
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 the function f(x) = $$\frac {(sinx+tanx)\cdot cosx}{1+cos(-x}}$$.
(1) If f(θ) × sin $\frac {π}{6}$ - cosθ = 0, find the value of sinθcosθ.
(2) If f(θ) × cosθ = $\frac {1}{8}$, and $\frac {π}{4}$ < θ < $\frac {3π}{4}$, find the value of f(2019π - θ) - cos(2018π - θ).

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