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1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
The value of $\tan ^{-1}\left(\tan \frac{7 \pi}{6}\right)$ is
A
$\frac{\pi}{6}$
B
$\frac{\pi}{3}$
C
$\frac{5 \pi}{6}$
D
$\frac{7 \pi}{6}$
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
Domain of the function $f(x)=\sqrt{\sin ^{-1}(2 x)+\frac{\pi}{6}}$ for real valued of $x$ is
A
$\left[-\frac{1}{4}, \quad \frac{1}{2}\right]$
B
$\left[-\frac{1}{2}, \frac{1}{2}\right]$
C
$\left[-\frac{1}{4}, \frac{1}{4}\right]$
D
$\left(-\frac{1}{2}, \quad \frac{1}{9}\right)$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
$-\frac{2 \pi}{5}$ is the principal value of
A
$\sin ^{-1}\left[\sin \left(\frac{7 \pi}{5}\right)\right]$
B
$\tan ^{-1}\left[\tan \left(\frac{7 \pi}{5}\right)\right]$
C
$\cos ^{-1}\left[\cos \left(\frac{7 \pi}{5}\right)\right]$
D
$\sec ^{-1}\left[\sec \left(\frac{7 \pi}{5}\right)\right]$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The range of $x$ for which the equation $\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)=2 \tan ^{-1} x$ holds true
A
$|x| \leq 1$
B
$\forall x \in R$
C
$x \geq 0$
D
$|x| \geq 1$
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