MathsJEE Main 28 Jan 2026, Shift 2·Q15·MCQ·Easy–moderate

Trigonometry · Signs of trigonometric functions

The sum of all the elements in the range of

f(x) = \operatorname{Sgn}(\sin x) + \operatorname{Sgn}(\cos x) + \operatorname{Sgn}(\tan x) + \operatorname{Sgn}(\cot x)

x \neq \dfrac{n\pi}{2}

n \in \mathbb{Z}

, where

\operatorname{Sgn}(t) = \begin{cases} 1, & \text{if } t > 0\\ -1 & \text{if } t < 0\end{cases}

, is

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