
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 the terminal side of angle \\(\alpha\\) intersects the unit circle at point \\(P\left( \dfrac {4}{5}, \dfrac {3}{5}\right)\\).

\\((1)\\) Find the values of \\(\sin \alpha\\), \\(\cos \alpha\\), and \\(\tan \alpha\\);  
\\((2)\\) Calculate the value of \\(\dfrac {\sin (\pi+\alpha)+2\sin ( \dfrac {\pi}{2}-\alpha)}{2\cos (\pi-\alpha)}\\).

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