
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
Simplify and evaluate:
(1) Given that the angle of inclination of a line is θ, the line x - 3y + 1 = 0 is perpendicular. Find the value of sin²θ + sinθ cosθ + 2.
(2) Find the value of $f(- \frac {23π}{6})$, where $$f(α)= \frac {sin( \frac {π}{2}+α)cos( \frac {π}{2}-α)}{cos(π+α)}+ \frac {2sin(π+α)cos(π-α)-cos(π+α)}{1+sin^{2}α+cos( \frac {3π}{2}+α)-sin^{2}( \frac {π}{2}+α)}$$.

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