
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
In the Cartesian coordinate system, the terminal side of angle $\alpha$ in the second quadrant intersects the unit circle at point $A(-\frac{3}{5}, y_0)$.
(1) Find the value of $2\sin^2\alpha + \sin 2\alpha$;
(2) If the angle between vector $\overrightarrow{OA}$ and $\overrightarrow{OB}$ is $60^\circ$, and $|\overrightarrow{OB}|=2$, find the slope of line $AB$.

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