
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 $\sin \theta +\cos \theta =\frac{7}{5}$, and $\tan \theta > 1$, find the value of $\frac{\sin (\pi +\theta )\cos \left( \frac{3\pi }{2}-\theta \right)}{\tan \left( \pi +\theta \right)\sin (3\pi -\theta )}$.

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