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Two chords $PA$ and $PB$ divide circle into three parts. The angle $PAB$ is a root of $f(x)=0$.

Find $f(x)$.

Clearly , $PA$ and $PB$ divides circle into three parts means it divides it into $3$ parts of equal areas

How can i find $f(x)$ then ?

thanks

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    I dont think equality of areas follows from the information you gave in your first sentence. I wonder whether you actually intended in your first sentence to specify that areas are to be equal.2011-08-02
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    And once you find the angle $\theta$, there are an infinite number of functions that take $\theta$ to $0$. Hell, I could set $f(x)=0$ as a constant function without even thinking about the geometry.2011-08-02

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