
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
Evaluate the following expressions:
\\((1) \dfrac {1}{\sin 10 ^\\circ }- \dfrac { \sqrt {3}}{\cos 10 ^{\\circ} }\\)；
\\((2) \dfrac {\sin 50 ^{\\circ} (1+ \sqrt {3}\tan 10 ^{\\circ} )-\cos 20 ^{\\circ} }{\cos 80 ^{\\circ} \sqrt {1-\cos 20 ^{\\circ} }}\\)．

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