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I'm trying to classify (at least as fully as possible) the values of $t$ in $(0,\pi/2)$ for which the following equation has a solution for some natural number, $n$.

$$\frac1{n}\sin(nt)=\frac1{n+2}\sin((n+2)t)$$

Does anyone know of any results that will help me?

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    @J.M.: I would suggest not using `\displaystyle` in question titles, as it is still typeset as large inline text, here and on the front page.2010-11-24
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    @Rahul: Done now.2010-11-24

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