For , where , find the range of the function…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

For

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

, where

n \in \mathbb{Z}

, find the range of the function

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

.

Related theory

Browse the problem library