
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 the function $$f(x)=A\sin(3x+ \frac {\pi}{6})+B(A>0)$$ has a maximum value of 2 and a minimum value of 0.  
(1) Find the value of $$f( \frac {7\pi}{18})$$;  
(2) After translating the graph of the function $$y=f(x)$$ to the right by $$\frac {\pi}{6}$$ units, and then enlarging the y-coordinates of all points on the graph by a factor of $$\sqrt {2}$$ (while keeping the x-coordinates unchanged) to obtain the graph of the function $$y=g(x)$$, find the solution to the equation $$g(x)= \frac { \sqrt {2}}{2}$$.

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