Question

The solution set of the equation $ta{n}^{-1}x-co{t}^{-1}x=co{s}^{-1}(2-x)$ is

• A. [ 0, 1 ]
• B. [-1, 1 ]
• C. [ 1, 3]
• D. [ -1, 0]

Answer 1

The correct option is C

[ 1, 3]

$ta{n}^{-1}$ and $co{t}^{-1}$ exist for all x $ϵ$ R
$co{s}^{-1}(2-x)$ exists if, $-1\le 2-x\le 1$ ie., $1\le x\le 3$