
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 $$\frac {2\sin^{2}\alpha+\sin 2\alpha}{1+\tan\alpha }=k(0＜\alpha＜ \frac {\pi}{4})$$, find the relationship between $\sin\left(\alpha- \frac {\pi}{4}\right)$ and $k$.

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