Sum of Range Sgn Functions (Jee Mains)

Functions

Medium

Sum of Range Sgn Functions

The sum of all the elements in the range of f(x)=Sgn(sinx)+Sgn(cosx)+Sgn(tanx)+Sgn(cotx), x ≠ $\frac{{n\pi }}{2}$ , n ∈ Z,
where Sgn(t) = $\left\{ \begin{matrix} 1, & if & t > 0 \hfill \cr - 1 & if & t < 0 \hfill \cr \end{matrix} \right.$ , is

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