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 \neq \frac{n \pi}{2}, n \in Z, where {\Sgn}(t)= \{ \begin{array}{cc}1{ & \\\\end{array} , \text{ if } t>0 ; -1{, } , \text{ if } t< 0} is : [28 Jan 2026 Shift 2]

JEE Main 28 Jan 2026 Shift 2 Paper Solved Paper

Section: Mathematics

Question : 19 of 75

Marks: +1, -0

The sum of all the elements in the range of f(x)=Sgn(sin‌x)+Sgn(cos‌x)+Sgn(tan‌x)+Sgn(cot‌x),x≠‌

nπ

,n∈Z, where Sgn(t)={

1,‌	‌ if ‌t>0
−1,‌	‌ if ‌t<0

is :

[28 Jan 2026 Shift 2]

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