
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
Point \(O\) is the common vertex of two identical cones located on the same side of plane \(\alpha\) such that only one generating line of each cone (\(OA\) for one cone and \(OB\) for the other) belongs to the plane \(\alpha\). It is known that the angle between the heights of the cones is \(\beta\), and the angle between the height and the generating line of a cone is \(\varphi\), with \(2 \varphi < \beta\). Find the angle between the generating line \(OA\) and the base plane of the other cone, which contains point \(B\).

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