
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 $f(x)=m\sin x+\cos x(x∈R)$ whose graph passes through the point $(\frac{π}{2},1)$.
(1) Find the analytical expression of $y=f(x)$, and find the function's smallest positive period and maximum value;
(2) How to obtain the graph of function $f(2x)$ from the graph of function $f(x-\frac{π}{4})$

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