
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 $A$ is an interior angle of a triangle,
(1) If $\tan A = 2$, compute the value of $$\frac {\sin(\pi-A)+\cos(-A)}{\sin A-\sin\left( \frac {\pi}{2}+A\right)}.$$
(2) If $\sin A + \cos A = \frac {1}{5}$, calculate the value of $\sin A - \cos A$.

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