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

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