# Inverse trig

Geometry Level pending

If $$\sin^{-1} x +\sin^{-1} y + \sin^{-1} z = \dfrac {3\pi}2$$, then

$\arcsin \left( \dfrac{2017 x^{2017} - 2016x^{2016}}{2015x^{2015}-2017x^{2017}}\right) = \frac{a\pi}{b}$

where $$a$$ and $$b$$ are coprime integers. Find $$|a + b|$$.

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