
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
Let \\(f(x)=ax^{2}-b\sin x\\) and \\(f′(0)=1\\), \\(f′\left( \dfrac {π}{3}\right)= \dfrac {1}{2}\\). Find the values of \\(a\\) and \\(b\\).

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