Cool function

Calculus Level 5

\(Let\quad f\left( x \right) =\sin ^{ 23 }{ x-\cos ^{ 22 }{ x } } \quad and\quad g\left( x \right) =1+\frac { 1 }{ 2 } \tan ^{ -1 }{ \left| x \right| } ,\\ the\quad no.\quad of\quad values\quad of\quad x\quad in\quad interval\quad \left[ -10\pi ,20\pi \right] \quad satisfying\\ the\quad equation\quad f\left( x \right) =sgn\left( g\left( x \right) \right) \quad is\)

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