1. Tardigrade
  2. Question
  3. Mathematics
  4. For x ≠ ( n π/2) where n ∈ I, the range of function f(x)= operatornamesgn( sin x)+ operatornamesgn( cos x)+ operatornamesgn( tan x)+ operatornamesgn( cot x) is equal to [Note: operatornamesgn x denotes signum function of x.]

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Q. For $x \neq \frac{ n \pi}{2}$ where $n \in I$, the range of function $f(x)=\operatorname{sgn}(\sin x)+\operatorname{sgn}(\cos x)+\operatorname{sgn}(\tan x)+\operatorname{sgn}(\cot x)$ is equal to
[Note: $\operatorname{sgn} x$ denotes signum function of $x$.]

Relations and Functions - Part 2

Solution:

Correct answer is (b) $\{-2,0,4\}$