Not tangent

Calculus Level 3

lima1aasin(cos1(x))cos(sin1(x))dx=?\large \displaystyle \lim _{ a\rightarrow 1 }{ \int _{ -a }^{ a }{ \frac { \sin( { \cos ^{ -1 }{ (x) } ) } }{ \cos ( \sin ^{ -1 } (x) ) } \, dx } } =?

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