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MCQEasyJEE Main 2026 · 28 January, Shift 2Trigonometric Ratios & Identities

Mathematics Question from JEE Main 2026 · 28 January, Shift 2

The sum of all the elements in the range of f(x)=sgn⁡(sin⁡x)+sgn⁡(cos⁡x)+sgn⁡(tan⁡x)+sgn⁡(cot⁡x),f(x)=\operatorname{sgn}(\sin x)+\operatorname{sgn}(\cos x) +\operatorname{sgn}(\tan x)+\operatorname{sgn}(\cot x), where x≠nπ2, n∈Z,sgn⁡(t)={1,t>0−1,t<0x\neq \frac{n\pi}{2},\ n\in\mathbb{Z}, \qquad \operatorname{sgn}(t)= \begin{cases} 1,& t>0\\-1,& t<0 \end{cases} is:

  • A

    00

  • B

    22

  • C

    −2-2

  • D

    44

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