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Helllo, I'm new here. I will try this great place to get my answer. I have a next problem:

$\vartheta = \arctan(K \tan \varphi)$

$K > 0$

Where $K$ is a constant. If $K = 1$ then $\vartheta = \varphi$, but I can't find more simple answer for $\vartheta$ if $K \neq 1$. Maybe someone will be able to help me out, if it is even possbile.

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    Thanks for all the answers. I knew I have a tough one. I just left it the way it is, because in that way it bothers my derivations at a minimum :).2012-02-24

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