Law of Cosines with imaginary arguments?

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Does the law of cosines:

$c^2 = a^2 + b^2 - 2 a b \cos \theta$

work with imaginary angles? to get something like:

$c^2 = a^2 + b^2 - 2 a b \cosh \theta$

Alternatively, is there a hyperbolic equivalent for the law of cosines that has a similar form to the law of cosines? I know there's a hyperbolic law of cosines that involves cosh's and sinh's but I want something that looks like the regular law of cosines.