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
$\sin 1.5$
28
MCQ (Single Correct Answer)
The value of $\cos ^{-1}\left(\cos \frac{3 \pi}{2}\right)$ is
A
$\frac{\pi}{2}$
B
$\frac{3 \pi}{2}$
C
$\frac{5 \pi}{2}$
D
$\frac{7 \pi}{2}$
29
MCQ (Single Correct Answer)
The value of $2 \sec ^{-1} 2+\sin ^{-1}\left(\frac{1}{2}\right)$ is
A
$\frac{\pi}{6}$
B
$\frac{5 \pi}{6}$
C
$\frac{7 \pi}{6}$
D
1
30
MCQ (Single Correct Answer)
If $\tan ^{-1} x+\tan ^{-1} y=\frac{4 \pi}{5}$, then $\cot ^{-1} x+\cot ^{-1} y$ equals to
A
$\frac{\pi}{5}$
B
$\frac{2 \pi}{5}$
C
$\frac{3 \pi}{5}$
D
$\pi$