
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 $\sin \theta$ and $\cos \theta$ are the two roots of the equation $x^{2}-ax+a=0$ with respect to $x$ ($a\in\mathbb{R}$).
(1) Find the value of $\sin ^{3} \theta+\cos ^{3} \theta$;
(2) Find the value of $\tan \theta+ \frac {1}{\tan \theta }$.

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