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Is it possible to rearrange

$$y = \frac{ \tan \left(\frac{N x}{2}\right)}{N}$$

where $x \lt \pi$ as a function of x and y that gives N?

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What do you mean here by "rearrange"? I don't think there is a way to write the right-hand side that's any simpler than what you already have. –  Greg Martin Jan 9 '13 at 6:11
    
I mean to give N as a function of x and y. –  geometrikal Jan 11 '13 at 3:43
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The program "maple" could not solve for N as a function of x,y. –  coffeemath Jan 11 '13 at 6:41
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Agreed, even the special case $\tan(N)/N = 1$ doesn't admit a closed-form solution, I believe. –  Greg Martin Jan 11 '13 at 21:21
    
Thankyou all ... i will have to come up with an approximation. –  geometrikal Jan 12 '13 at 0:05
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