
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
Calculate:  
(1) Given $2\sin\alpha - \cos\alpha = 0$, find the value of $$\frac {\sin\alpha - \cos\alpha}{\sin\alpha + \cos\alpha} + \frac {\sin\alpha + \cos\alpha}{\sin\alpha - \cos\alpha}.$$  
(2) Given $\cos\left( \frac {\pi}{4} + x\right) = \frac {3}{5}$, find the value of $$\frac {\sin^{3}x + \sin x\cos^{2}x}{1 - \tan x}.$$

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