
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 $\cos \left(\theta+ \frac {\pi}{2}\right)=- \frac {1}{2}$, find the value of $\frac {\cos (\theta+\pi)}{\sin \left( \frac {\pi}{2}-\theta \right)\left[\cos (3\pi -\theta )-1\right]}+ \frac {\cos (\theta-2\pi)}{\cos (-\theta )\cdot \cos (\pi -\theta )+\sin (\theta + \frac {5\pi}{2})}$.

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