JEE Main 202628 Jan, Evening shiftMathematicsMediumTrigonometry118× since 2002The sum of all the elements in the range of f(x)=Sgn(sinx)+Sgn(cosx)+Sgn(tanx)+Sgn(cotx)f(x) = \mathrm{Sgn}(\sin x) + \mathrm{Sgn}(\cos x) + \mathrm{Sgn}(\tan x) + \mathrm{Sgn}(\cot x)f(x)=Sgn(sinx)+Sgn(cosx)+Sgn(tanx)+Sgn(cotx), x≠nπ2x \ne \frac{n\pi}{2}x=2nπ, n∈Zn \in \mathbb{Z}n∈Z, where Sgn(t)={1,if t>0−1,if t<0\mathrm{Sgn}(t) = \begin{cases} 1, & \text{if } t > 0 \\ -1, & \text{if } t < 0 \end{cases}Sgn(t)={1,−1,if t>0if t<0, is :AOption A. 000BOption B. −2-2−2COption C. 222DOption D. 444CheckSkip · show solution
