
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 $f(x)=A\sin (x+\varphi)$ ($A > 0$, $0 < \varphi < \pi$) has a maximum value of $1$, and its graph passes through point $M\left(\frac{\pi }{3},\frac{1}{2}\right)$, then $f\left(\frac{3\pi }{4}\right)=$\_\_\_.

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