# SAT1000 - P321

Geometry Level pending

Given the function $f(x)=\sin(\omega x + \dfrac{\pi}{3})\ (\omega>0)$, $f(\dfrac{\pi}{6})=f(\dfrac{\pi}{3})$.

If $f(x)$ has minimum value but no maximum value on the interval $(\dfrac{\pi}{6},\dfrac{\pi}{3})$, then find the value of $\omega$.

If $\omega=\dfrac{a}{b}$, where $a,b$ are positive coprime integers. submit $a+b$.

Have a look at my problem set: SAT 1000 problems

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