
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 \\(f(α)= \dfrac {\sin (π+α)\cos (2π-α)\tan (-α)}{\tan (-π -\alpha )\cos ( \dfrac {3π}{2}+\alpha )}\\).  
\\((1)\\) Simplify \\(f(α)\\);  
\\((2)\\) When \\(α=- \dfrac {31π}{3}\\), find the value of \\(f(α)\\);  
\\((3)\\) If \\(α\\) is an angle in the third quadrant, and \\(\sin α=- \dfrac {1}{5}\\), find the value of \\(f(α)\\).

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