Question

$\tan | x |= | \tan x |$ if

• A. $x \in\left(-\frac{2k+1}{2}\pi,-k \pi\right)$
• B. $x \in\left(k \pi ,\frac{2k+1}{2} \pi\right)$
• C. $x \in\left(\frac{2k+1}{2}\pi,k \pi\right)$
• D. $x \in\left(-k \pi,-\pi \frac{2k-1}{2}\right)$

Answer 1

Answer: (A)

$x \in\left(-\frac{2k+1}{2}\pi,-k \pi\right)$

Answer 2

$| tan x |$ is always positive $\Rightarrow \, \, \, \tan |x | > 0 \Rightarrow | x |$ lies in either $I$ or $III$ quadrant By verification only (1) satisfy these conditions Where $k \, \in \, Z$