
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
If the terminal side of angle $a$ lies on the ray $y=-x(x\geqslant 0)$, then $\dfrac{\sin a}{ \sqrt{1-\sin ^{2}a}}+ \dfrac{ \sqrt{1-\cos ^{2}a}}{\cos a}=$\_\_\_\_\_\_\_\_\_\_．

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