23
MCQ (Single Correct Answer)
The value of $\sin ^{-1}\left[\cos \left(\frac{33 \pi}{5}\right)\right]$ is
A
$\frac{3 \pi}{5}$
B
$\frac{-7 \pi}{5}$
C
$\frac{\pi}{10}$
D
$\frac{-\pi}{10}$
24
MCQ (Single Correct Answer)
The domain of the function $\cos ^{-1}(2 x-1)$ is
A
$[0,1]$
B
$[-1,1]$
C
$(-1,1)$
D
$[0, \pi]$
25
MCQ (Single Correct Answer)
The domain of the function defined by $f(x)=\sin ^{-1} \sqrt{x-1}$ is
A
$[1,2]$
B
$[-1,1]$
C
$[0,1]$
D
None of these
26
MCQ (Single Correct Answer)
If $\cos \left(\sin ^{-1} \frac{2}{5}+\cos ^{-1} x\right)=0$, then $x$ is equal to
A
$\frac{1}{5}$
B
$\frac{2}{5}$
C
0
D
1
27
MCQ (Single Correct Answer)
The value of $\sin \left[2 \tan ^{-1}(0.75)\right]$ is
A
0.75
B
1.5
C
0.96
D
$\sin 1.5$