Complex sign. I mean sine!

Algebra Level 4

πAiln(B+C)\large \frac{\pi}{A} - i \ln {\left(B+\sqrt{C}\right)}

There is no real value for sin1(2)\sin^{-1}(2) but it has a complex one. And it is of the form as described above where, AA, BB and CC are positive integers. Evaluate A+B+CA+B+C.

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