Mathematics · 2026
JEE Main · 28 January 2026, Shift 2 · Q1
The sum of all the elements in the range of f(x)= Sgn ( sin x)+ Sgn ( cos x)+ Sgn ( tan x)+ Sgn ( cot x), x ≠ (n π)/2, n ∈ Z, where Sgn ( t )= {1, if…
The sum of all the elements in the range of $\displaystyle f(x)=\operatorname{Sgn}(\sin x)+\operatorname{Sgn}(\cos x)+\operatorname{Sgn}(\tan x)+\operatorname{Sgn}(\cot x)$, $\displaystyle x \neq \frac{\mathrm{n} \pi}{2}, \mathrm{n} \in \mathbf{Z}$, where $\displaystyle \operatorname{Sgn}(\mathrm{t})=\left\{\begin{array}{cll}1, & \text { if } & \mathrm{t}>0 \\ -1, & \text { if } & \mathrm{t}<0\end{array}\right.$, is :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 2$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.