I have also been told it's impossible. If so, how?
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Try to invert cosine, then you see you've only shifted the problem to be $x = \arrcos{x}$. The Taylor series of cosine has infinite terms so you cant use that either. – Triatticus Mar 23 '18 at 12:54
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It can't be solved algebraically because $\cos$ is not an algebraic function. – mweiss Mar 23 '18 at 12:59