I am using the Law of Cosines to extract and angle I need from a shaft that is turning on an air engine by piston oscillation and I am having a brain fart on if there are any identities I am missing that can help me pull '[itex]\alpha[/itex]' from the right side of my equation:(adsbygoogle = window.adsbygoogle || []).push({});

acos(([itex](h-pl)^{2}[/itex]-[itex]r^{2}[/itex]-[itex]l^{2}[/itex])/(-2*r*l))-[itex]\pi[/itex]=-[itex]\alpha[/itex]-asin(sin([itex]\alpha[/itex])(r/l))

I would like to solve the entire equation for [itex]\alpha[/itex] and the other variables can be treated like constants.

Thanks for the help or attempts in advance.

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# Help with extracting alpha from: -alpha-asin(sin(alpha)(r/l)

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